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Finding the Third Proportional to 610,566 and 897,567

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Solution

The third proportional to 610,566 and 897,567 is: 1,319,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,566 : 897,567 = 897,567 : x
  2. Step 2: Convert to fraction form
    610,566/897,567 = 897,567/x
  3. Step 3: Cross multiply
    610,566x = 897,567 × 897,567
  4. Step 4: Simplify right side
    610,566x = 805,626,519,489
  5. Step 5: Solve for x
    x = 805,626,519,489/610,566
  6. Step 6: Final answer
    x = 1,319,474.91

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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.