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Finding the Third Proportional to 524,681,874 and 784,131,111

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Solution

The third proportional to 524,681,874 and 784,131,111 is: 1,171,875,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,681,874 : 784,131,111 = 784,131,111 : x
  2. Step 2: Convert to fraction form
    524,681,874/784,131,111 = 784,131,111/x
  3. Step 3: Cross multiply
    524,681,874x = 784,131,111 × 784,131,111
  4. Step 4: Simplify right side
    524,681,874x = 614,861,599,238,094,336
  5. Step 5: Solve for x
    x = 614,861,599,238,094,336/524,681,874
  6. Step 6: Final answer
    x = 1,171,875,053.64

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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.