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Finding the Third Proportional to 524,681,880 and 784,131,120

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Solution

The third proportional to 524,681,880 and 784,131,120 is: 1,171,875,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,681,880 : 784,131,120 = 784,131,120 : x
  2. Step 2: Convert to fraction form
    524,681,880/784,131,120 = 784,131,120/x
  3. Step 3: Cross multiply
    524,681,880x = 784,131,120 × 784,131,120
  4. Step 4: Simplify right side
    524,681,880x = 614,861,613,352,454,400
  5. Step 5: Solve for x
    x = 614,861,613,352,454,400/524,681,880
  6. Step 6: Final answer
    x = 1,171,875,067.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.