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Finding the Third Proportional to 632,728 and 1,317,944

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Solution

The third proportional to 632,728 and 1,317,944 is: 2,745,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,728 : 1,317,944 = 1,317,944 : x
  2. Step 2: Convert to fraction form
    632,728/1,317,944 = 1,317,944/x
  3. Step 3: Cross multiply
    632,728x = 1,317,944 × 1,317,944
  4. Step 4: Simplify right side
    632,728x = 1,736,976,387,136
  5. Step 5: Solve for x
    x = 1,736,976,387,136/632,728
  6. Step 6: Final answer
    x = 2,745,218.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.