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Finding the Third Proportional to 778,170 and 1,672,588

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Solution

The third proportional to 778,170 and 1,672,588 is: 3,595,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,170 : 1,672,588 = 1,672,588 : x
  2. Step 2: Convert to fraction form
    778,170/1,672,588 = 1,672,588/x
  3. Step 3: Cross multiply
    778,170x = 1,672,588 × 1,672,588
  4. Step 4: Simplify right side
    778,170x = 2,797,550,617,744
  5. Step 5: Solve for x
    x = 2,797,550,617,744/778,170
  6. Step 6: Final answer
    x = 3,595,037.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.