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Finding the Third Proportional to 1,138,212 and 2,438,682

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Solution

The third proportional to 1,138,212 and 2,438,682 is: 5,225,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,212 : 2,438,682 = 2,438,682 : x
  2. Step 2: Convert to fraction form
    1,138,212/2,438,682 = 2,438,682/x
  3. Step 3: Cross multiply
    1,138,212x = 2,438,682 × 2,438,682
  4. Step 4: Simplify right side
    1,138,212x = 5,947,169,897,124
  5. Step 5: Solve for x
    x = 5,947,169,897,124/1,138,212
  6. Step 6: Final answer
    x = 5,225,010.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.