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Finding the Third Proportional to 1,416,919.50 and 3,057,723

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Solution

The third proportional to 1,416,919.50 and 3,057,723 is: 6,598,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,919.50 : 3,057,723 = 3,057,723 : x
  2. Step 2: Convert to fraction form
    1,416,919.50/3,057,723 = 3,057,723/x
  3. Step 3: Cross multiply
    1,416,919.50x = 3,057,723 × 3,057,723
  4. Step 4: Simplify right side
    1,416,919.50x = 9,349,669,944,729
  5. Step 5: Solve for x
    x = 9,349,669,944,729/1,416,919.50
  6. Step 6: Final answer
    x = 6,598,589.37

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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.