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Finding the Third Proportional to 509,788,545.75 and 787,202,686.69

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Solution

The third proportional to 509,788,545.75 and 787,202,686.69 is: 1,215,578,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,788,545.75 : 787,202,686.69 = 787,202,686.69 : x
  2. Step 2: Convert to fraction form
    509,788,545.75/787,202,686.69 = 787,202,686.69/x
  3. Step 3: Cross multiply
    509,788,545.75x = 787,202,686.69 × 787,202,686.69
  4. Step 4: Simplify right side
    509,788,545.75x = 619,688,069,928,018,304
  5. Step 5: Solve for x
    x = 619,688,069,928,018,304/509,788,545.75
  6. Step 6: Final answer
    x = 1,215,578,645.49

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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.