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Finding the Third Proportional to 1,238,540 and 1,914,169

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Solution

The third proportional to 1,238,540 and 1,914,169 is: 2,958,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,540 : 1,914,169 = 1,914,169 : x
  2. Step 2: Convert to fraction form
    1,238,540/1,914,169 = 1,914,169/x
  3. Step 3: Cross multiply
    1,238,540x = 1,914,169 × 1,914,169
  4. Step 4: Simplify right side
    1,238,540x = 3,664,042,960,561
  5. Step 5: Solve for x
    x = 3,664,042,960,561/1,238,540
  6. Step 6: Final answer
    x = 2,958,356.58

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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.