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Finding the Third Proportional to 2,746,188 and 5,980,584

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Solution

The third proportional to 2,746,188 and 5,980,584 is: 13,024,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746,188 : 5,980,584 = 5,980,584 : x
  2. Step 2: Convert to fraction form
    2,746,188/5,980,584 = 5,980,584/x
  3. Step 3: Cross multiply
    2,746,188x = 5,980,584 × 5,980,584
  4. Step 4: Simplify right side
    2,746,188x = 35,767,384,981,056
  5. Step 5: Solve for x
    x = 35,767,384,981,056/2,746,188
  6. Step 6: Final answer
    x = 13,024,375.96

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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.