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Finding the Third Proportional to 2,894,012 and 6,286,228

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Solution

The third proportional to 2,894,012 and 6,286,228 is: 13,654,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,012 : 6,286,228 = 6,286,228 : x
  2. Step 2: Convert to fraction form
    2,894,012/6,286,228 = 6,286,228/x
  3. Step 3: Cross multiply
    2,894,012x = 6,286,228 × 6,286,228
  4. Step 4: Simplify right side
    2,894,012x = 39,516,662,467,984
  5. Step 5: Solve for x
    x = 39,516,662,467,984/2,894,012
  6. Step 6: Final answer
    x = 13,654,629.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.