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Finding the Third Proportional to 489,236.20 and 991,617.19

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Solution

The third proportional to 489,236.20 and 991,617.19 is: 2,009,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,236.20 : 991,617.19 = 991,617.19 : x
  2. Step 2: Convert to fraction form
    489,236.20/991,617.19 = 991,617.19/x
  3. Step 3: Cross multiply
    489,236.20x = 991,617.19 × 991,617.19
  4. Step 4: Simplify right side
    489,236.20x = 983,304,646,545.41
  5. Step 5: Solve for x
    x = 983,304,646,545.41/489,236.20
  6. Step 6: Final answer
    x = 2,009,877.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.