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Finding the Third Proportional to 462,449.88 and 1,008,937.90

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Solution

The third proportional to 462,449.88 and 1,008,937.90 is: 2,201,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,449.88 : 1,008,937.90 = 1,008,937.90 : x
  2. Step 2: Convert to fraction form
    462,449.88/1,008,937.90 = 1,008,937.90/x
  3. Step 3: Cross multiply
    462,449.88x = 1,008,937.90 × 1,008,937.90
  4. Step 4: Simplify right side
    462,449.88x = 1,017,955,682,903.48
  5. Step 5: Solve for x
    x = 1,017,955,682,903.48/462,449.88
  6. Step 6: Final answer
    x = 2,201,223.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.