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Finding the Third Proportional to 2,591,797 and 5,655,257

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Solution

The third proportional to 2,591,797 and 5,655,257 is: 12,339,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591,797 : 5,655,257 = 5,655,257 : x
  2. Step 2: Convert to fraction form
    2,591,797/5,655,257 = 5,655,257/x
  3. Step 3: Cross multiply
    2,591,797x = 5,655,257 × 5,655,257
  4. Step 4: Simplify right side
    2,591,797x = 31,981,931,736,049
  5. Step 5: Solve for x
    x = 31,981,931,736,049/2,591,797
  6. Step 6: Final answer
    x = 12,339,674.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.