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Finding the Third Proportional to 2,654,170 and 5,655,991

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Solution

The third proportional to 2,654,170 and 5,655,991 is: 12,052,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654,170 : 5,655,991 = 5,655,991 : x
  2. Step 2: Convert to fraction form
    2,654,170/5,655,991 = 5,655,991/x
  3. Step 3: Cross multiply
    2,654,170x = 5,655,991 × 5,655,991
  4. Step 4: Simplify right side
    2,654,170x = 31,990,234,192,081
  5. Step 5: Solve for x
    x = 31,990,234,192,081/2,654,170
  6. Step 6: Final answer
    x = 12,052,820.35

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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.