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Finding the Third Proportional to 1,169,649 and 2,513,349

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Solution

The third proportional to 1,169,649 and 2,513,349 is: 5,400,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,649 : 2,513,349 = 2,513,349 : x
  2. Step 2: Convert to fraction form
    1,169,649/2,513,349 = 2,513,349/x
  3. Step 3: Cross multiply
    1,169,649x = 2,513,349 × 2,513,349
  4. Step 4: Simplify right side
    1,169,649x = 6,316,923,195,801
  5. Step 5: Solve for x
    x = 6,316,923,195,801/1,169,649
  6. Step 6: Final answer
    x = 5,400,699.86

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Why These Related Problems?

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