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Finding the Third Proportional to 1,000,081 and 2,156,538

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Solution

The third proportional to 1,000,081 and 2,156,538 is: 4,650,279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,081 : 2,156,538 = 2,156,538 : x
  2. Step 2: Convert to fraction form
    1,000,081/2,156,538 = 2,156,538/x
  3. Step 3: Cross multiply
    1,000,081x = 2,156,538 × 2,156,538
  4. Step 4: Simplify right side
    1,000,081x = 4,650,656,145,444
  5. Step 5: Solve for x
    x = 4,650,656,145,444/1,000,081
  6. Step 6: Final answer
    x = 4,650,279.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.