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Finding the Third Proportional to 723,239,591 and 1,569,773,493

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Solution

The third proportional to 723,239,591 and 1,569,773,493 is: 3,407,154,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,239,591 : 1,569,773,493 = 1,569,773,493 : x
  2. Step 2: Convert to fraction form
    723,239,591/1,569,773,493 = 1,569,773,493/x
  3. Step 3: Cross multiply
    723,239,591x = 1,569,773,493 × 1,569,773,493
  4. Step 4: Simplify right side
    723,239,591x = 2,464,188,819,325,421,056
  5. Step 5: Solve for x
    x = 2,464,188,819,325,421,056/723,239,591
  6. Step 6: Final answer
    x = 3,407,154,212.78

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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.