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Finding the Third Proportional to 836,872 and 1,842,656

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Solution

The third proportional to 836,872 and 1,842,656 is: 4,057,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,872 : 1,842,656 = 1,842,656 : x
  2. Step 2: Convert to fraction form
    836,872/1,842,656 = 1,842,656/x
  3. Step 3: Cross multiply
    836,872x = 1,842,656 × 1,842,656
  4. Step 4: Simplify right side
    836,872x = 3,395,381,134,336
  5. Step 5: Solve for x
    x = 3,395,381,134,336/836,872
  6. Step 6: Final answer
    x = 4,057,228.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.