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Finding the Third Proportional to 619,913.25 and 834,117.75

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Solution

The third proportional to 619,913.25 and 834,117.75 is: 1,122,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,913.25 : 834,117.75 = 834,117.75 : x
  2. Step 2: Convert to fraction form
    619,913.25/834,117.75 = 834,117.75/x
  3. Step 3: Cross multiply
    619,913.25x = 834,117.75 × 834,117.75
  4. Step 4: Simplify right side
    619,913.25x = 695,752,420,865.06
  5. Step 5: Solve for x
    x = 695,752,420,865.06/619,913.25
  6. Step 6: Final answer
    x = 1,122,338.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.