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Finding the Third Proportional to 869,856 and 1,874,427.75

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Solution

The third proportional to 869,856 and 1,874,427.75 is: 4,039,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,856 : 1,874,427.75 = 1,874,427.75 : x
  2. Step 2: Convert to fraction form
    869,856/1,874,427.75 = 1,874,427.75/x
  3. Step 3: Cross multiply
    869,856x = 1,874,427.75 × 1,874,427.75
  4. Step 4: Simplify right side
    869,856x = 3,513,479,389,970.06
  5. Step 5: Solve for x
    x = 3,513,479,389,970.06/869,856
  6. Step 6: Final answer
    x = 4,039,150.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.