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Finding the Third Proportional to 665,109 and 1,454,634

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Solution

The third proportional to 665,109 and 1,454,634 is: 3,181,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,109 : 1,454,634 = 1,454,634 : x
  2. Step 2: Convert to fraction form
    665,109/1,454,634 = 1,454,634/x
  3. Step 3: Cross multiply
    665,109x = 1,454,634 × 1,454,634
  4. Step 4: Simplify right side
    665,109x = 2,115,960,073,956
  5. Step 5: Solve for x
    x = 2,115,960,073,956/665,109
  6. Step 6: Final answer
    x = 3,181,373.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.