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Finding the Third Proportional to 897,536.75 and 1,944,610.75

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Solution

The third proportional to 897,536.75 and 1,944,610.75 is: 4,213,210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,536.75 : 1,944,610.75 = 1,944,610.75 : x
  2. Step 2: Convert to fraction form
    897,536.75/1,944,610.75 = 1,944,610.75/x
  3. Step 3: Cross multiply
    897,536.75x = 1,944,610.75 × 1,944,610.75
  4. Step 4: Simplify right side
    897,536.75x = 3,781,510,969,015.56
  5. Step 5: Solve for x
    x = 3,781,510,969,015.56/897,536.75
  6. Step 6: Final answer
    x = 4,213,210.18

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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.