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Finding the Third Proportional to 1,224,740.25 and 2,659,797

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Solution

The third proportional to 1,224,740.25 and 2,659,797 is: 5,776,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224,740.25 : 2,659,797 = 2,659,797 : x
  2. Step 2: Convert to fraction form
    1,224,740.25/2,659,797 = 2,659,797/x
  3. Step 3: Cross multiply
    1,224,740.25x = 2,659,797 × 2,659,797
  4. Step 4: Simplify right side
    1,224,740.25x = 7,074,520,081,209
  5. Step 5: Solve for x
    x = 7,074,520,081,209/1,224,740.25
  6. Step 6: Final answer
    x = 5,776,343.25

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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.