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Finding the Third Proportional to 748,197 and 1,641,147.75

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Solution

The third proportional to 748,197 and 1,641,147.75 is: 3,599,808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,197 : 1,641,147.75 = 1,641,147.75 : x
  2. Step 2: Convert to fraction form
    748,197/1,641,147.75 = 1,641,147.75/x
  3. Step 3: Cross multiply
    748,197x = 1,641,147.75 × 1,641,147.75
  4. Step 4: Simplify right side
    748,197x = 2,693,365,937,330.06
  5. Step 5: Solve for x
    x = 2,693,365,937,330.06/748,197
  6. Step 6: Final answer
    x = 3,599,808.52

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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.