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Finding the Third Proportional to 470,837,750 and 734,865,864

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Solution

The third proportional to 470,837,750 and 734,865,864 is: 1,146,951,020.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,837,750 : 734,865,864 = 734,865,864 : x
  2. Step 2: Convert to fraction form
    470,837,750/734,865,864 = 734,865,864/x
  3. Step 3: Cross multiply
    470,837,750x = 734,865,864 × 734,865,864
  4. Step 4: Simplify right side
    470,837,750x = 540,027,838,072,466,496
  5. Step 5: Solve for x
    x = 540,027,838,072,466,496/470,837,750
  6. Step 6: Final answer
    x = 1,146,951,020.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.