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Finding the Third Proportional to 1,287,463 and 1,947,761

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Solution

The third proportional to 1,287,463 and 1,947,761 is: 2,946,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,463 : 1,947,761 = 1,947,761 : x
  2. Step 2: Convert to fraction form
    1,287,463/1,947,761 = 1,947,761/x
  3. Step 3: Cross multiply
    1,287,463x = 1,947,761 × 1,947,761
  4. Step 4: Simplify right side
    1,287,463x = 3,793,772,913,121
  5. Step 5: Solve for x
    x = 3,793,772,913,121/1,287,463
  6. Step 6: Final answer
    x = 2,946,704.42

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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.