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Finding the Third Proportional to 2,298,764.81 and 3,448,147.22

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Solution

The third proportional to 2,298,764.81 and 3,448,147.22 is: 5,172,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298,764.81 : 3,448,147.22 = 3,448,147.22 : x
  2. Step 2: Convert to fraction form
    2,298,764.81/3,448,147.22 = 3,448,147.22/x
  3. Step 3: Cross multiply
    2,298,764.81x = 3,448,147.22 × 3,448,147.22
  4. Step 4: Simplify right side
    2,298,764.81x = 11,889,719,242,173.36
  5. Step 5: Solve for x
    x = 11,889,719,242,173.36/2,298,764.81
  6. Step 6: Final answer
    x = 5,172,220.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.