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Finding the Third Proportional to 387,113 and 833,551

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Solution

The third proportional to 387,113 and 833,551 is: 1,794,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,113 : 833,551 = 833,551 : x
  2. Step 2: Convert to fraction form
    387,113/833,551 = 833,551/x
  3. Step 3: Cross multiply
    387,113x = 833,551 × 833,551
  4. Step 4: Simplify right side
    387,113x = 694,807,269,601
  5. Step 5: Solve for x
    x = 694,807,269,601/387,113
  6. Step 6: Final answer
    x = 1,794,843.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.