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Finding the Third Proportional to 610,514 and 897,478

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Solution

The third proportional to 610,514 and 897,478 is: 1,319,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,514 : 897,478 = 897,478 : x
  2. Step 2: Convert to fraction form
    610,514/897,478 = 897,478/x
  3. Step 3: Cross multiply
    610,514x = 897,478 × 897,478
  4. Step 4: Simplify right side
    610,514x = 805,466,760,484
  5. Step 5: Solve for x
    x = 805,466,760,484/610,514
  6. Step 6: Final answer
    x = 1,319,325.62

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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.