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Finding the Third Proportional to 611,127 and 897,962

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Solution

The third proportional to 611,127 and 897,962 is: 1,319,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,127 : 897,962 = 897,962 : x
  2. Step 2: Convert to fraction form
    611,127/897,962 = 897,962/x
  3. Step 3: Cross multiply
    611,127x = 897,962 × 897,962
  4. Step 4: Simplify right side
    611,127x = 806,335,753,444
  5. Step 5: Solve for x
    x = 806,335,753,444/611,127
  6. Step 6: Final answer
    x = 1,319,424.20

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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.