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Finding the Third Proportional to 1,053,253.50 and 2,269,212

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Solution

The third proportional to 1,053,253.50 and 2,269,212 is: 4,888,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,253.50 : 2,269,212 = 2,269,212 : x
  2. Step 2: Convert to fraction form
    1,053,253.50/2,269,212 = 2,269,212/x
  3. Step 3: Cross multiply
    1,053,253.50x = 2,269,212 × 2,269,212
  4. Step 4: Simplify right side
    1,053,253.50x = 5,149,323,100,944
  5. Step 5: Solve for x
    x = 5,149,323,100,944/1,053,253.50
  6. Step 6: Final answer
    x = 4,888,968.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.