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Finding the Third Proportional to 750,741.75 and 1,554,738.38

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Solution

The third proportional to 750,741.75 and 1,554,738.38 is: 3,219,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,741.75 : 1,554,738.38 = 1,554,738.38 : x
  2. Step 2: Convert to fraction form
    750,741.75/1,554,738.38 = 1,554,738.38/x
  3. Step 3: Cross multiply
    750,741.75x = 1,554,738.38 × 1,554,738.38
  4. Step 4: Simplify right side
    750,741.75x = 2,417,211,414,697.64
  5. Step 5: Solve for x
    x = 2,417,211,414,697.64/750,741.75
  6. Step 6: Final answer
    x = 3,219,764.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.