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Finding the Third Proportional to 412,110.44 and 868,500.81

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Solution

The third proportional to 412,110.44 and 868,500.81 is: 1,830,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,110.44 : 868,500.81 = 868,500.81 : x
  2. Step 2: Convert to fraction form
    412,110.44/868,500.81 = 868,500.81/x
  3. Step 3: Cross multiply
    412,110.44x = 868,500.81 × 868,500.81
  4. Step 4: Simplify right side
    412,110.44x = 754,293,661,313.16
  5. Step 5: Solve for x
    x = 754,293,661,313.16/412,110.44
  6. Step 6: Final answer
    x = 1,830,319.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.