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Finding the Third Proportional to 723,239,589 and 1,569,773,489

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Solution

The third proportional to 723,239,589 and 1,569,773,489 is: 3,407,154,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,239,589 : 1,569,773,489 = 1,569,773,489 : x
  2. Step 2: Convert to fraction form
    723,239,589/1,569,773,489 = 1,569,773,489/x
  3. Step 3: Cross multiply
    723,239,589x = 1,569,773,489 × 1,569,773,489
  4. Step 4: Simplify right side
    723,239,589x = 2,464,188,806,767,233,024
  5. Step 5: Solve for x
    x = 2,464,188,806,767,233,024/723,239,589
  6. Step 6: Final answer
    x = 3,407,154,204.84

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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.