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Finding the Third Proportional to 2,760,920 and 5,655,688

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Solution

The third proportional to 2,760,920 and 5,655,688 is: 11,585,560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760,920 : 5,655,688 = 5,655,688 : x
  2. Step 2: Convert to fraction form
    2,760,920/5,655,688 = 5,655,688/x
  3. Step 3: Cross multiply
    2,760,920x = 5,655,688 × 5,655,688
  4. Step 4: Simplify right side
    2,760,920x = 31,986,806,753,344
  5. Step 5: Solve for x
    x = 31,986,806,753,344/2,760,920
  6. Step 6: Final answer
    x = 11,585,560.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.