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Finding the Third Proportional to 592,037 and 902,792

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Solution

The third proportional to 592,037 and 902,792 is: 1,376,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,037 : 902,792 = 902,792 : x
  2. Step 2: Convert to fraction form
    592,037/902,792 = 902,792/x
  3. Step 3: Cross multiply
    592,037x = 902,792 × 902,792
  4. Step 4: Simplify right side
    592,037x = 815,033,395,264
  5. Step 5: Solve for x
    x = 815,033,395,264/592,037
  6. Step 6: Final answer
    x = 1,376,659.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.