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Finding the Third Proportional to 825,801.75 and 1,750,749.19

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Solution

The third proportional to 825,801.75 and 1,750,749.19 is: 3,711,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,801.75 : 1,750,749.19 = 1,750,749.19 : x
  2. Step 2: Convert to fraction form
    825,801.75/1,750,749.19 = 1,750,749.19/x
  3. Step 3: Cross multiply
    825,801.75x = 1,750,749.19 × 1,750,749.19
  4. Step 4: Simplify right side
    825,801.75x = 3,065,122,717,531.91
  5. Step 5: Solve for x
    x = 3,065,122,717,531.91/825,801.75
  6. Step 6: Final answer
    x = 3,711,693.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.