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Finding the Third Proportional to 2,165,860 and 3,174,910

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Solution

The third proportional to 2,165,860 and 3,174,910 is: 4,654,065.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165,860 : 3,174,910 = 3,174,910 : x
  2. Step 2: Convert to fraction form
    2,165,860/3,174,910 = 3,174,910/x
  3. Step 3: Cross multiply
    2,165,860x = 3,174,910 × 3,174,910
  4. Step 4: Simplify right side
    2,165,860x = 10,080,053,508,100
  5. Step 5: Solve for x
    x = 10,080,053,508,100/2,165,860
  6. Step 6: Final answer
    x = 4,654,065.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.