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Finding the Third Proportional to 664,177 and 1,375,613

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Solution

The third proportional to 664,177 and 1,375,613 is: 2,849,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,177 : 1,375,613 = 1,375,613 : x
  2. Step 2: Convert to fraction form
    664,177/1,375,613 = 1,375,613/x
  3. Step 3: Cross multiply
    664,177x = 1,375,613 × 1,375,613
  4. Step 4: Simplify right side
    664,177x = 1,892,311,125,769
  5. Step 5: Solve for x
    x = 1,892,311,125,769/664,177
  6. Step 6: Final answer
    x = 2,849,106.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.