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Finding the Third Proportional to 1,451,149.50 and 2,288,046

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Solution

The third proportional to 1,451,149.50 and 2,288,046 is: 3,607,591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451,149.50 : 2,288,046 = 2,288,046 : x
  2. Step 2: Convert to fraction form
    1,451,149.50/2,288,046 = 2,288,046/x
  3. Step 3: Cross multiply
    1,451,149.50x = 2,288,046 × 2,288,046
  4. Step 4: Simplify right side
    1,451,149.50x = 5,235,154,498,116
  5. Step 5: Solve for x
    x = 5,235,154,498,116/1,451,149.50
  6. Step 6: Final answer
    x = 3,607,591.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.