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Finding the Third Proportional to 1,687,065 and 2,613,027

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Solution

The third proportional to 1,687,065 and 2,613,027 is: 4,047,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,065 : 2,613,027 = 2,613,027 : x
  2. Step 2: Convert to fraction form
    1,687,065/2,613,027 = 2,613,027/x
  3. Step 3: Cross multiply
    1,687,065x = 2,613,027 × 2,613,027
  4. Step 4: Simplify right side
    1,687,065x = 6,827,910,102,729
  5. Step 5: Solve for x
    x = 6,827,910,102,729/1,687,065
  6. Step 6: Final answer
    x = 4,047,212.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.