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Finding the Third Proportional to 819,713,155.50 and 1,198,826,790.75

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Solution

The third proportional to 819,713,155.50 and 1,198,826,790.75 is: 1,753,278,771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,713,155.50 : 1,198,826,790.75 = 1,198,826,790.75 : x
  2. Step 2: Convert to fraction form
    819,713,155.50/1,198,826,790.75 = 1,198,826,790.75/x
  3. Step 3: Cross multiply
    819,713,155.50x = 1,198,826,790.75 × 1,198,826,790.75
  4. Step 4: Simplify right side
    819,713,155.50x = 1,437,185,674,219,944,192
  5. Step 5: Solve for x
    x = 1,437,185,674,219,944,192/819,713,155.50
  6. Step 6: Final answer
    x = 1,753,278,771.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.