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Finding the Third Proportional to 1,188,468 and 1,614,780

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Solution

The third proportional to 1,188,468 and 1,614,780 is: 2,194,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,468 : 1,614,780 = 1,614,780 : x
  2. Step 2: Convert to fraction form
    1,188,468/1,614,780 = 1,614,780/x
  3. Step 3: Cross multiply
    1,188,468x = 1,614,780 × 1,614,780
  4. Step 4: Simplify right side
    1,188,468x = 2,607,514,448,400
  5. Step 5: Solve for x
    x = 2,607,514,448,400/1,188,468
  6. Step 6: Final answer
    x = 2,194,013.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.