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Finding the Third Proportional to 694,998 and 1,522,856

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Solution

The third proportional to 694,998 and 1,522,856 is: 3,336,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,998 : 1,522,856 = 1,522,856 : x
  2. Step 2: Convert to fraction form
    694,998/1,522,856 = 1,522,856/x
  3. Step 3: Cross multiply
    694,998x = 1,522,856 × 1,522,856
  4. Step 4: Simplify right side
    694,998x = 2,319,090,396,736
  5. Step 5: Solve for x
    x = 2,319,090,396,736/694,998
  6. Step 6: Final answer
    x = 3,336,830.32

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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.