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Finding the Third Proportional to 1,363,047.75 and 2,138,400

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Solution

The third proportional to 1,363,047.75 and 2,138,400 is: 3,354,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363,047.75 : 2,138,400 = 2,138,400 : x
  2. Step 2: Convert to fraction form
    1,363,047.75/2,138,400 = 2,138,400/x
  3. Step 3: Cross multiply
    1,363,047.75x = 2,138,400 × 2,138,400
  4. Step 4: Simplify right side
    1,363,047.75x = 4,572,754,560,000
  5. Step 5: Solve for x
    x = 4,572,754,560,000/1,363,047.75
  6. Step 6: Final answer
    x = 3,354,801.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.