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Finding the Third Proportional to 317,594,754 and 687,951,441

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Solution

The third proportional to 317,594,754 and 687,951,441 is: 1,490,192,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,594,754 : 687,951,441 = 687,951,441 : x
  2. Step 2: Convert to fraction form
    317,594,754/687,951,441 = 687,951,441/x
  3. Step 3: Cross multiply
    317,594,754x = 687,951,441 × 687,951,441
  4. Step 4: Simplify right side
    317,594,754x = 473,277,185,173,976,512
  5. Step 5: Solve for x
    x = 473,277,185,173,976,512/317,594,754
  6. Step 6: Final answer
    x = 1,490,192,074.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.