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Finding the Third Proportional to 581,974.38 and 897,871

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Solution

The third proportional to 581,974.38 and 897,871 is: 1,385,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,974.38 : 897,871 = 897,871 : x
  2. Step 2: Convert to fraction form
    581,974.38/897,871 = 897,871/x
  3. Step 3: Cross multiply
    581,974.38x = 897,871 × 897,871
  4. Step 4: Simplify right side
    581,974.38x = 806,172,332,641
  5. Step 5: Solve for x
    x = 806,172,332,641/581,974.38
  6. Step 6: Final answer
    x = 1,385,236.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.