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Finding the Third Proportional to 4,069,383.75 and 5,424,765.75

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Solution

The third proportional to 4,069,383.75 and 5,424,765.75 is: 7,231,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069,383.75 : 5,424,765.75 = 5,424,765.75 : x
  2. Step 2: Convert to fraction form
    4,069,383.75/5,424,765.75 = 5,424,765.75/x
  3. Step 3: Cross multiply
    4,069,383.75x = 5,424,765.75 × 5,424,765.75
  4. Step 4: Simplify right side
    4,069,383.75x = 29,428,083,442,373.06
  5. Step 5: Solve for x
    x = 29,428,083,442,373.06/4,069,383.75
  6. Step 6: Final answer
    x = 7,231,582.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.