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Finding the Third Proportional to 801,714 and 1,669,767

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Solution

The third proportional to 801,714 and 1,669,767 is: 3,477,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,714 : 1,669,767 = 1,669,767 : x
  2. Step 2: Convert to fraction form
    801,714/1,669,767 = 1,669,767/x
  3. Step 3: Cross multiply
    801,714x = 1,669,767 × 1,669,767
  4. Step 4: Simplify right side
    801,714x = 2,788,121,834,289
  5. Step 5: Solve for x
    x = 2,788,121,834,289/801,714
  6. Step 6: Final answer
    x = 3,477,701.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.