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Finding the Third Proportional to 1,098,434 and 1,653,267

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Solution

The third proportional to 1,098,434 and 1,653,267 is: 2,488,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,434 : 1,653,267 = 1,653,267 : x
  2. Step 2: Convert to fraction form
    1,098,434/1,653,267 = 1,653,267/x
  3. Step 3: Cross multiply
    1,098,434x = 1,653,267 × 1,653,267
  4. Step 4: Simplify right side
    1,098,434x = 2,733,291,773,289
  5. Step 5: Solve for x
    x = 2,733,291,773,289/1,098,434
  6. Step 6: Final answer
    x = 2,488,353.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.