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Finding the Third Proportional to 1,376,976 and 2,921,016

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Solution

The third proportional to 1,376,976 and 2,921,016 is: 6,196,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,976 : 2,921,016 = 2,921,016 : x
  2. Step 2: Convert to fraction form
    1,376,976/2,921,016 = 2,921,016/x
  3. Step 3: Cross multiply
    1,376,976x = 2,921,016 × 2,921,016
  4. Step 4: Simplify right side
    1,376,976x = 8,532,334,472,256
  5. Step 5: Solve for x
    x = 8,532,334,472,256/1,376,976
  6. Step 6: Final answer
    x = 6,196,429.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.