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Finding the Third Proportional to 872,634 and 1,280,214

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Solution

The third proportional to 872,634 and 1,280,214 is: 1,878,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,634 : 1,280,214 = 1,280,214 : x
  2. Step 2: Convert to fraction form
    872,634/1,280,214 = 1,280,214/x
  3. Step 3: Cross multiply
    872,634x = 1,280,214 × 1,280,214
  4. Step 4: Simplify right side
    872,634x = 1,638,947,885,796
  5. Step 5: Solve for x
    x = 1,638,947,885,796/872,634
  6. Step 6: Final answer
    x = 1,878,161.85

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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.