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Finding the Third Proportional to 1,005,165 and 2,167,785

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Solution

The third proportional to 1,005,165 and 2,167,785 is: 4,675,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,165 : 2,167,785 = 2,167,785 : x
  2. Step 2: Convert to fraction form
    1,005,165/2,167,785 = 2,167,785/x
  3. Step 3: Cross multiply
    1,005,165x = 2,167,785 × 2,167,785
  4. Step 4: Simplify right side
    1,005,165x = 4,699,291,806,225
  5. Step 5: Solve for x
    x = 4,699,291,806,225/1,005,165
  6. Step 6: Final answer
    x = 4,675,144.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.