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Finding the Third Proportional to 1,287,432 and 1,947,718

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Solution

The third proportional to 1,287,432 and 1,947,718 is: 2,946,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,432 : 1,947,718 = 1,947,718 : x
  2. Step 2: Convert to fraction form
    1,287,432/1,947,718 = 1,947,718/x
  3. Step 3: Cross multiply
    1,287,432x = 1,947,718 × 1,947,718
  4. Step 4: Simplify right side
    1,287,432x = 3,793,605,407,524
  5. Step 5: Solve for x
    x = 3,793,605,407,524/1,287,432
  6. Step 6: Final answer
    x = 2,946,645.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.