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Finding the Third Proportional to 2,760,729 and 5,655,315

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Solution

The third proportional to 2,760,729 and 5,655,315 is: 11,584,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760,729 : 5,655,315 = 5,655,315 : x
  2. Step 2: Convert to fraction form
    2,760,729/5,655,315 = 5,655,315/x
  3. Step 3: Cross multiply
    2,760,729x = 5,655,315 × 5,655,315
  4. Step 4: Simplify right side
    2,760,729x = 31,982,587,749,225
  5. Step 5: Solve for x
    x = 31,982,587,749,225/2,760,729
  6. Step 6: Final answer
    x = 11,584,834.20

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