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Finding the Third Proportional to 664,741.69 and 1,418,041.69

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Solution

The third proportional to 664,741.69 and 1,418,041.69 is: 3,024,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,741.69 : 1,418,041.69 = 1,418,041.69 : x
  2. Step 2: Convert to fraction form
    664,741.69/1,418,041.69 = 1,418,041.69/x
  3. Step 3: Cross multiply
    664,741.69x = 1,418,041.69 × 1,418,041.69
  4. Step 4: Simplify right side
    664,741.69x = 2,010,842,227,487.85
  5. Step 5: Solve for x
    x = 2,010,842,227,487.85/664,741.69
  6. Step 6: Final answer
    x = 3,024,997.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.