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Finding the Third Proportional to 672,649 and 1,435,098

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Solution

The third proportional to 672,649 and 1,435,098 is: 3,061,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,649 : 1,435,098 = 1,435,098 : x
  2. Step 2: Convert to fraction form
    672,649/1,435,098 = 1,435,098/x
  3. Step 3: Cross multiply
    672,649x = 1,435,098 × 1,435,098
  4. Step 4: Simplify right side
    672,649x = 2,059,506,269,604
  5. Step 5: Solve for x
    x = 2,059,506,269,604/672,649
  6. Step 6: Final answer
    x = 3,061,784.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.