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Finding the Third Proportional to 427,776.19 and 929,449.69

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Solution

The third proportional to 427,776.19 and 929,449.69 is: 2,019,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,776.19 : 929,449.69 = 929,449.69 : x
  2. Step 2: Convert to fraction form
    427,776.19/929,449.69 = 929,449.69/x
  3. Step 3: Cross multiply
    427,776.19x = 929,449.69 × 929,449.69
  4. Step 4: Simplify right side
    427,776.19x = 863,876,721,593.85
  5. Step 5: Solve for x
    x = 863,876,721,593.85/427,776.19
  6. Step 6: Final answer
    x = 2,019,459.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.