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Finding the Third Proportional to 1,073,166.75 and 2,332,703.25

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Solution

The third proportional to 1,073,166.75 and 2,332,703.25 is: 5,070,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,166.75 : 2,332,703.25 = 2,332,703.25 : x
  2. Step 2: Convert to fraction form
    1,073,166.75/2,332,703.25 = 2,332,703.25/x
  3. Step 3: Cross multiply
    1,073,166.75x = 2,332,703.25 × 2,332,703.25
  4. Step 4: Simplify right side
    1,073,166.75x = 5,441,504,452,560.56
  5. Step 5: Solve for x
    x = 5,441,504,452,560.56/1,073,166.75
  6. Step 6: Final answer
    x = 5,070,511.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.