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Finding the Third Proportional to 861,657.75 and 1,874,441.25

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Solution

The third proportional to 861,657.75 and 1,874,441.25 is: 4,077,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,657.75 : 1,874,441.25 = 1,874,441.25 : x
  2. Step 2: Convert to fraction form
    861,657.75/1,874,441.25 = 1,874,441.25/x
  3. Step 3: Cross multiply
    861,657.75x = 1,874,441.25 × 1,874,441.25
  4. Step 4: Simplify right side
    861,657.75x = 3,513,529,999,701.56
  5. Step 5: Solve for x
    x = 3,513,529,999,701.56/861,657.75
  6. Step 6: Final answer
    x = 4,077,639.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.