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Finding the Third Proportional to 1,743,181.50 and 3,766,462.13

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Solution

The third proportional to 1,743,181.50 and 3,766,462.13 is: 8,138,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,181.50 : 3,766,462.13 = 3,766,462.13 : x
  2. Step 2: Convert to fraction form
    1,743,181.50/3,766,462.13 = 3,766,462.13/x
  3. Step 3: Cross multiply
    1,743,181.50x = 3,766,462.13 × 3,766,462.13
  4. Step 4: Simplify right side
    1,743,181.50x = 14,186,236,939,059.52
  5. Step 5: Solve for x
    x = 14,186,236,939,059.52/1,743,181.50
  6. Step 6: Final answer
    x = 8,138,129.59

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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.