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Finding the Third Proportional to 509,672,744 and 787,040,572

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Solution

The third proportional to 509,672,744 and 787,040,572 is: 1,215,354,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,672,744 : 787,040,572 = 787,040,572 : x
  2. Step 2: Convert to fraction form
    509,672,744/787,040,572 = 787,040,572/x
  3. Step 3: Cross multiply
    509,672,744x = 787,040,572 × 787,040,572
  4. Step 4: Simplify right side
    509,672,744x = 619,432,861,974,087,168
  5. Step 5: Solve for x
    x = 619,432,861,974,087,168/509,672,744
  6. Step 6: Final answer
    x = 1,215,354,105.68

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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.