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Finding the Third Proportional to 814,344 and 1,749,072

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Solution

The third proportional to 814,344 and 1,749,072 is: 3,756,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,344 : 1,749,072 = 1,749,072 : x
  2. Step 2: Convert to fraction form
    814,344/1,749,072 = 1,749,072/x
  3. Step 3: Cross multiply
    814,344x = 1,749,072 × 1,749,072
  4. Step 4: Simplify right side
    814,344x = 3,059,252,861,184
  5. Step 5: Solve for x
    x = 3,059,252,861,184/814,344
  6. Step 6: Final answer
    x = 3,756,708.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.