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Finding the Third Proportional to 817,943.63 and 1,747,216.13

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Solution

The third proportional to 817,943.63 and 1,747,216.13 is: 3,732,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,943.63 : 1,747,216.13 = 1,747,216.13 : x
  2. Step 2: Convert to fraction form
    817,943.63/1,747,216.13 = 1,747,216.13/x
  3. Step 3: Cross multiply
    817,943.63x = 1,747,216.13 × 1,747,216.13
  4. Step 4: Simplify right side
    817,943.63x = 3,052,764,187,460.02
  5. Step 5: Solve for x
    x = 3,052,764,187,460.02/817,943.63
  6. Step 6: Final answer
    x = 3,732,242.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.