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Finding the Third Proportional to 777,029.25 and 1,198,759.13

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Solution

The third proportional to 777,029.25 and 1,198,759.13 is: 1,849,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,029.25 : 1,198,759.13 = 1,198,759.13 : x
  2. Step 2: Convert to fraction form
    777,029.25/1,198,759.13 = 1,198,759.13/x
  3. Step 3: Cross multiply
    777,029.25x = 1,198,759.13 × 1,198,759.13
  4. Step 4: Simplify right side
    777,029.25x = 1,437,023,439,770.77
  5. Step 5: Solve for x
    x = 1,437,023,439,770.77/777,029.25
  6. Step 6: Final answer
    x = 1,849,381.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.