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Finding the Third Proportional to 610,542 and 897,522

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Solution

The third proportional to 610,542 and 897,522 is: 1,319,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,542 : 897,522 = 897,522 : x
  2. Step 2: Convert to fraction form
    610,542/897,522 = 897,522/x
  3. Step 3: Cross multiply
    610,542x = 897,522 × 897,522
  4. Step 4: Simplify right side
    610,542x = 805,545,740,484
  5. Step 5: Solve for x
    x = 805,545,740,484/610,542
  6. Step 6: Final answer
    x = 1,319,394.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.