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Finding the Third Proportional to 465,648.75 and 1,029,439.13

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Solution

The third proportional to 465,648.75 and 1,029,439.13 is: 2,275,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,648.75 : 1,029,439.13 = 1,029,439.13 : x
  2. Step 2: Convert to fraction form
    465,648.75/1,029,439.13 = 1,029,439.13/x
  3. Step 3: Cross multiply
    465,648.75x = 1,029,439.13 × 1,029,439.13
  4. Step 4: Simplify right side
    465,648.75x = 1,059,744,912,080.77
  5. Step 5: Solve for x
    x = 1,059,744,912,080.77/465,648.75
  6. Step 6: Final answer
    x = 2,275,846.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.