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Finding the Third Proportional to 2,109,204.56 and 4,517,324.44

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Solution

The third proportional to 2,109,204.56 and 4,517,324.44 is: 9,674,841.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109,204.56 : 4,517,324.44 = 4,517,324.44 : x
  2. Step 2: Convert to fraction form
    2,109,204.56/4,517,324.44 = 4,517,324.44/x
  3. Step 3: Cross multiply
    2,109,204.56x = 4,517,324.44 × 4,517,324.44
  4. Step 4: Simplify right side
    2,109,204.56x = 20,406,220,073,634.69
  5. Step 5: Solve for x
    x = 20,406,220,073,634.69/2,109,204.56
  6. Step 6: Final answer
    x = 9,674,841.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.