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Finding the Third Proportional to 3,230,580 and 5,001,647

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Solution

The third proportional to 3,230,580 and 5,001,647 is: 7,743,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230,580 : 5,001,647 = 5,001,647 : x
  2. Step 2: Convert to fraction form
    3,230,580/5,001,647 = 5,001,647/x
  3. Step 3: Cross multiply
    3,230,580x = 5,001,647 × 5,001,647
  4. Step 4: Simplify right side
    3,230,580x = 25,016,472,712,609
  5. Step 5: Solve for x
    x = 25,016,472,712,609/3,230,580
  6. Step 6: Final answer
    x = 7,743,647.49

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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.