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Finding the Third Proportional to 466,309.41 and 1,012,444.31

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Solution

The third proportional to 466,309.41 and 1,012,444.31 is: 2,198,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,309.41 : 1,012,444.31 = 1,012,444.31 : x
  2. Step 2: Convert to fraction form
    466,309.41/1,012,444.31 = 1,012,444.31/x
  3. Step 3: Cross multiply
    466,309.41x = 1,012,444.31 × 1,012,444.31
  4. Step 4: Simplify right side
    466,309.41x = 1,025,043,485,913.60
  5. Step 5: Solve for x
    x = 1,025,043,485,913.60/466,309.41
  6. Step 6: Final answer
    x = 2,198,204.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.