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Finding the Third Proportional to 1,224,424 and 2,859,229

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Solution

The third proportional to 1,224,424 and 2,859,229 is: 6,676,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224,424 : 2,859,229 = 2,859,229 : x
  2. Step 2: Convert to fraction form
    1,224,424/2,859,229 = 2,859,229/x
  3. Step 3: Cross multiply
    1,224,424x = 2,859,229 × 2,859,229
  4. Step 4: Simplify right side
    1,224,424x = 8,175,190,474,441
  5. Step 5: Solve for x
    x = 8,175,190,474,441/1,224,424
  6. Step 6: Final answer
    x = 6,676,764.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.