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Finding the Third Proportional to 3,230,587.25 and 5,001,658.50

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Solution

The third proportional to 3,230,587.25 and 5,001,658.50 is: 7,743,665.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230,587.25 : 5,001,658.50 = 5,001,658.50 : x
  2. Step 2: Convert to fraction form
    3,230,587.25/5,001,658.50 = 5,001,658.50/x
  3. Step 3: Cross multiply
    3,230,587.25x = 5,001,658.50 × 5,001,658.50
  4. Step 4: Simplify right side
    3,230,587.25x = 25,016,587,750,622.25
  5. Step 5: Solve for x
    x = 25,016,587,750,622.25/3,230,587.25
  6. Step 6: Final answer
    x = 7,743,665.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.