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Finding the Third Proportional to 602,892 and 959,688

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Solution

The third proportional to 602,892 and 959,688 is: 1,527,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,892 : 959,688 = 959,688 : x
  2. Step 2: Convert to fraction form
    602,892/959,688 = 959,688/x
  3. Step 3: Cross multiply
    602,892x = 959,688 × 959,688
  4. Step 4: Simplify right side
    602,892x = 921,001,057,344
  5. Step 5: Solve for x
    x = 921,001,057,344/602,892
  6. Step 6: Final answer
    x = 1,527,638.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.