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Finding the Third Proportional to 771,493.50 and 1,669,833

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Solution

The third proportional to 771,493.50 and 1,669,833 is: 3,614,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,493.50 : 1,669,833 = 1,669,833 : x
  2. Step 2: Convert to fraction form
    771,493.50/1,669,833 = 1,669,833/x
  3. Step 3: Cross multiply
    771,493.50x = 1,669,833 × 1,669,833
  4. Step 4: Simplify right side
    771,493.50x = 2,788,342,247,889
  5. Step 5: Solve for x
    x = 2,788,342,247,889/771,493.50
  6. Step 6: Final answer
    x = 3,614,213.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.