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Finding the Third Proportional to 410,212.69 and 886,151.25

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Solution

The third proportional to 410,212.69 and 886,151.25 is: 1,914,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,212.69 : 886,151.25 = 886,151.25 : x
  2. Step 2: Convert to fraction form
    410,212.69/886,151.25 = 886,151.25/x
  3. Step 3: Cross multiply
    410,212.69x = 886,151.25 × 886,151.25
  4. Step 4: Simplify right side
    410,212.69x = 785,264,037,876.56
  5. Step 5: Solve for x
    x = 785,264,037,876.56/410,212.69
  6. Step 6: Final answer
    x = 1,914,285.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.