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Finding the Third Proportional to 801,704 and 1,669,746

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Solution

The third proportional to 801,704 and 1,669,746 is: 3,477,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,704 : 1,669,746 = 1,669,746 : x
  2. Step 2: Convert to fraction form
    801,704/1,669,746 = 1,669,746/x
  3. Step 3: Cross multiply
    801,704x = 1,669,746 × 1,669,746
  4. Step 4: Simplify right side
    801,704x = 2,788,051,704,516
  5. Step 5: Solve for x
    x = 2,788,051,704,516/801,704
  6. Step 6: Final answer
    x = 3,477,657.22

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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.