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Finding the Third Proportional to 872,649 and 1,280,244

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Solution

The third proportional to 872,649 and 1,280,244 is: 1,878,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,649 : 1,280,244 = 1,280,244 : x
  2. Step 2: Convert to fraction form
    872,649/1,280,244 = 1,280,244/x
  3. Step 3: Cross multiply
    872,649x = 1,280,244 × 1,280,244
  4. Step 4: Simplify right side
    872,649x = 1,639,024,699,536
  5. Step 5: Solve for x
    x = 1,639,024,699,536/872,649
  6. Step 6: Final answer
    x = 1,878,217.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.