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Finding the Third Proportional to 1,086,408 and 2,338,470

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Solution

The third proportional to 1,086,408 and 2,338,470 is: 5,033,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,408 : 2,338,470 = 2,338,470 : x
  2. Step 2: Convert to fraction form
    1,086,408/2,338,470 = 2,338,470/x
  3. Step 3: Cross multiply
    1,086,408x = 2,338,470 × 2,338,470
  4. Step 4: Simplify right side
    1,086,408x = 5,468,441,940,900
  5. Step 5: Solve for x
    x = 5,468,441,940,900/1,086,408
  6. Step 6: Final answer
    x = 5,033,506.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.