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Finding the Third Proportional to 632,583 and 1,366,203

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Solution

The third proportional to 632,583 and 1,366,203 is: 2,950,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,583 : 1,366,203 = 1,366,203 : x
  2. Step 2: Convert to fraction form
    632,583/1,366,203 = 1,366,203/x
  3. Step 3: Cross multiply
    632,583x = 1,366,203 × 1,366,203
  4. Step 4: Simplify right side
    632,583x = 1,866,510,637,209
  5. Step 5: Solve for x
    x = 1,866,510,637,209/632,583
  6. Step 6: Final answer
    x = 2,950,617.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.