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Finding the Third Proportional to 610,549 and 897,530

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Solution

The third proportional to 610,549 and 897,530 is: 1,319,402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,549 : 897,530 = 897,530 : x
  2. Step 2: Convert to fraction form
    610,549/897,530 = 897,530/x
  3. Step 3: Cross multiply
    610,549x = 897,530 × 897,530
  4. Step 4: Simplify right side
    610,549x = 805,560,100,900
  5. Step 5: Solve for x
    x = 805,560,100,900/610,549
  6. Step 6: Final answer
    x = 1,319,402.87

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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.