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Finding the Third Proportional to 856,872 and 1,878,759

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Solution

The third proportional to 856,872 and 1,878,759 is: 4,119,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,872 : 1,878,759 = 1,878,759 : x
  2. Step 2: Convert to fraction form
    856,872/1,878,759 = 1,878,759/x
  3. Step 3: Cross multiply
    856,872x = 1,878,759 × 1,878,759
  4. Step 4: Simplify right side
    856,872x = 3,529,735,380,081
  5. Step 5: Solve for x
    x = 3,529,735,380,081/856,872
  6. Step 6: Final answer
    x = 4,119,326.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.