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Finding the Third Proportional to 982,878 and 2,147,592

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Solution

The third proportional to 982,878 and 2,147,592 is: 4,692,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,878 : 2,147,592 = 2,147,592 : x
  2. Step 2: Convert to fraction form
    982,878/2,147,592 = 2,147,592/x
  3. Step 3: Cross multiply
    982,878x = 2,147,592 × 2,147,592
  4. Step 4: Simplify right side
    982,878x = 4,612,151,398,464
  5. Step 5: Solve for x
    x = 4,612,151,398,464/982,878
  6. Step 6: Final answer
    x = 4,692,496.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.