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Finding the Third Proportional to 2,572,540 and 5,486,810

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Solution

The third proportional to 2,572,540 and 5,486,810 is: 11,702,474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572,540 : 5,486,810 = 5,486,810 : x
  2. Step 2: Convert to fraction form
    2,572,540/5,486,810 = 5,486,810/x
  3. Step 3: Cross multiply
    2,572,540x = 5,486,810 × 5,486,810
  4. Step 4: Simplify right side
    2,572,540x = 30,105,083,976,100
  5. Step 5: Solve for x
    x = 30,105,083,976,100/2,572,540
  6. Step 6: Final answer
    x = 11,702,474.59

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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.