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Finding the Third Proportional to 1,048,200.75 and 2,245,871.25

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Solution

The third proportional to 1,048,200.75 and 2,245,871.25 is: 4,811,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,200.75 : 2,245,871.25 = 2,245,871.25 : x
  2. Step 2: Convert to fraction form
    1,048,200.75/2,245,871.25 = 2,245,871.25/x
  3. Step 3: Cross multiply
    1,048,200.75x = 2,245,871.25 × 2,245,871.25
  4. Step 4: Simplify right side
    1,048,200.75x = 5,043,937,671,576.56
  5. Step 5: Solve for x
    x = 5,043,937,671,576.56/1,048,200.75
  6. Step 6: Final answer
    x = 4,811,995.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.