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Finding the Third Proportional to 2,099,687 and 3,257,429

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Solution

The third proportional to 2,099,687 and 3,257,429 is: 5,053,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,687 : 3,257,429 = 3,257,429 : x
  2. Step 2: Convert to fraction form
    2,099,687/3,257,429 = 3,257,429/x
  3. Step 3: Cross multiply
    2,099,687x = 3,257,429 × 3,257,429
  4. Step 4: Simplify right side
    2,099,687x = 10,610,843,690,041
  5. Step 5: Solve for x
    x = 10,610,843,690,041/2,099,687
  6. Step 6: Final answer
    x = 5,053,535.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.