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Finding the Third Proportional to 2,748,288 and 5,861,751

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Solution

The third proportional to 2,748,288 and 5,861,751 is: 12,502,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748,288 : 5,861,751 = 5,861,751 : x
  2. Step 2: Convert to fraction form
    2,748,288/5,861,751 = 5,861,751/x
  3. Step 3: Cross multiply
    2,748,288x = 5,861,751 × 5,861,751
  4. Step 4: Simplify right side
    2,748,288x = 34,360,124,786,001
  5. Step 5: Solve for x
    x = 34,360,124,786,001/2,748,288
  6. Step 6: Final answer
    x = 12,502,374.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.