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Finding the Third Proportional to 1,031,983.03 and 1,517,641.31

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Solution

The third proportional to 1,031,983.03 and 1,517,641.31 is: 2,231,853.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,983.03 : 1,517,641.31 = 1,517,641.31 : x
  2. Step 2: Convert to fraction form
    1,031,983.03/1,517,641.31 = 1,517,641.31/x
  3. Step 3: Cross multiply
    1,031,983.03x = 1,517,641.31 × 1,517,641.31
  4. Step 4: Simplify right side
    1,031,983.03x = 2,303,235,153,406.72
  5. Step 5: Solve for x
    x = 2,303,235,153,406.72/1,031,983.03
  6. Step 6: Final answer
    x = 2,231,853.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.