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Finding the Third Proportional to 748,851.75 and 1,640,252.25

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Solution

The third proportional to 748,851.75 and 1,640,252.25 is: 3,592,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,851.75 : 1,640,252.25 = 1,640,252.25 : x
  2. Step 2: Convert to fraction form
    748,851.75/1,640,252.25 = 1,640,252.25/x
  3. Step 3: Cross multiply
    748,851.75x = 1,640,252.25 × 1,640,252.25
  4. Step 4: Simplify right side
    748,851.75x = 2,690,427,443,630.06
  5. Step 5: Solve for x
    x = 2,690,427,443,630.06/748,851.75
  6. Step 6: Final answer
    x = 3,592,737.07

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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.