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Finding the Third Proportional to 632,475 and 1,389,366

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Solution

The third proportional to 632,475 and 1,389,366 is: 3,052,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,475 : 1,389,366 = 1,389,366 : x
  2. Step 2: Convert to fraction form
    632,475/1,389,366 = 1,389,366/x
  3. Step 3: Cross multiply
    632,475x = 1,389,366 × 1,389,366
  4. Step 4: Simplify right side
    632,475x = 1,930,337,881,956
  5. Step 5: Solve for x
    x = 1,930,337,881,956/632,475
  6. Step 6: Final answer
    x = 3,052,038.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.