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Finding the Third Proportional to 2,012,081 and 3,140,591

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Solution

The third proportional to 2,012,081 and 3,140,591 is: 4,902,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012,081 : 3,140,591 = 3,140,591 : x
  2. Step 2: Convert to fraction form
    2,012,081/3,140,591 = 3,140,591/x
  3. Step 3: Cross multiply
    2,012,081x = 3,140,591 × 3,140,591
  4. Step 4: Simplify right side
    2,012,081x = 9,863,311,829,281
  5. Step 5: Solve for x
    x = 9,863,311,829,281/2,012,081
  6. Step 6: Final answer
    x = 4,902,045.11

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.