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Finding the Third Proportional to 982,446 and 1,517,085

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Solution

The third proportional to 982,446 and 1,517,085 is: 2,342,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,446 : 1,517,085 = 1,517,085 : x
  2. Step 2: Convert to fraction form
    982,446/1,517,085 = 1,517,085/x
  3. Step 3: Cross multiply
    982,446x = 1,517,085 × 1,517,085
  4. Step 4: Simplify right side
    982,446x = 2,301,546,897,225
  5. Step 5: Solve for x
    x = 2,301,546,897,225/982,446
  6. Step 6: Final answer
    x = 2,342,670.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.