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Finding the Third Proportional to 694,944 and 1,522,872

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Solution

The third proportional to 694,944 and 1,522,872 is: 3,337,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,944 : 1,522,872 = 1,522,872 : x
  2. Step 2: Convert to fraction form
    694,944/1,522,872 = 1,522,872/x
  3. Step 3: Cross multiply
    694,944x = 1,522,872 × 1,522,872
  4. Step 4: Simplify right side
    694,944x = 2,319,139,128,384
  5. Step 5: Solve for x
    x = 2,319,139,128,384/694,944
  6. Step 6: Final answer
    x = 3,337,159.73

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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.