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Finding the Third Proportional to 1,223,649 and 1,720,098

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Solution

The third proportional to 1,223,649 and 1,720,098 is: 2,417,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,649 : 1,720,098 = 1,720,098 : x
  2. Step 2: Convert to fraction form
    1,223,649/1,720,098 = 1,720,098/x
  3. Step 3: Cross multiply
    1,223,649x = 1,720,098 × 1,720,098
  4. Step 4: Simplify right side
    1,223,649x = 2,958,737,129,604
  5. Step 5: Solve for x
    x = 2,958,737,129,604/1,223,649
  6. Step 6: Final answer
    x = 2,417,962.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.