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Finding the Third Proportional to 872,654 and 1,280,250

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Solution

The third proportional to 872,654 and 1,280,250 is: 1,878,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,654 : 1,280,250 = 1,280,250 : x
  2. Step 2: Convert to fraction form
    872,654/1,280,250 = 1,280,250/x
  3. Step 3: Cross multiply
    872,654x = 1,280,250 × 1,280,250
  4. Step 4: Simplify right side
    872,654x = 1,639,040,062,500
  5. Step 5: Solve for x
    x = 1,639,040,062,500/872,654
  6. Step 6: Final answer
    x = 1,878,224.43

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