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Finding the Third Proportional to 875,734 and 1,882,422

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Solution

The third proportional to 875,734 and 1,882,422 is: 4,046,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,734 : 1,882,422 = 1,882,422 : x
  2. Step 2: Convert to fraction form
    875,734/1,882,422 = 1,882,422/x
  3. Step 3: Cross multiply
    875,734x = 1,882,422 × 1,882,422
  4. Step 4: Simplify right side
    875,734x = 3,543,512,586,084
  5. Step 5: Solve for x
    x = 3,543,512,586,084/875,734
  6. Step 6: Final answer
    x = 4,046,334.37

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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.