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Finding the Third Proportional to 664,176 and 1,375,612

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Solution

The third proportional to 664,176 and 1,375,612 is: 2,849,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,176 : 1,375,612 = 1,375,612 : x
  2. Step 2: Convert to fraction form
    664,176/1,375,612 = 1,375,612/x
  3. Step 3: Cross multiply
    664,176x = 1,375,612 × 1,375,612
  4. Step 4: Simplify right side
    664,176x = 1,892,308,374,544
  5. Step 5: Solve for x
    x = 1,892,308,374,544/664,176
  6. Step 6: Final answer
    x = 2,849,106.82

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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.