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Finding the Third Proportional to 711,081 and 1,561,266

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Solution

The third proportional to 711,081 and 1,561,266 is: 3,427,951.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,081 : 1,561,266 = 1,561,266 : x
  2. Step 2: Convert to fraction form
    711,081/1,561,266 = 1,561,266/x
  3. Step 3: Cross multiply
    711,081x = 1,561,266 × 1,561,266
  4. Step 4: Simplify right side
    711,081x = 2,437,551,522,756
  5. Step 5: Solve for x
    x = 2,437,551,522,756/711,081
  6. Step 6: Final answer
    x = 3,427,951.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.