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Finding the Third Proportional to 1,350,458 and 2,138,441

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Solution

The third proportional to 1,350,458 and 2,138,441 is: 3,386,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350,458 : 2,138,441 = 2,138,441 : x
  2. Step 2: Convert to fraction form
    1,350,458/2,138,441 = 2,138,441/x
  3. Step 3: Cross multiply
    1,350,458x = 2,138,441 × 2,138,441
  4. Step 4: Simplify right side
    1,350,458x = 4,572,929,910,481
  5. Step 5: Solve for x
    x = 4,572,929,910,481/1,350,458
  6. Step 6: Final answer
    x = 3,386,206.69

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.