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Finding the Third Proportional to 2,934,256 and 6,221,780

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Solution

The third proportional to 2,934,256 and 6,221,780 is: 13,192,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934,256 : 6,221,780 = 6,221,780 : x
  2. Step 2: Convert to fraction form
    2,934,256/6,221,780 = 6,221,780/x
  3. Step 3: Cross multiply
    2,934,256x = 6,221,780 × 6,221,780
  4. Step 4: Simplify right side
    2,934,256x = 38,710,546,368,400
  5. Step 5: Solve for x
    x = 38,710,546,368,400/2,934,256
  6. Step 6: Final answer
    x = 13,192,627.49

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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.