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Finding the Third Proportional to 4,003,920 and 6,204,928.50

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Solution

The third proportional to 4,003,920 and 6,204,928.50 is: 9,615,860.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003,920 : 6,204,928.50 = 6,204,928.50 : x
  2. Step 2: Convert to fraction form
    4,003,920/6,204,928.50 = 6,204,928.50/x
  3. Step 3: Cross multiply
    4,003,920x = 6,204,928.50 × 6,204,928.50
  4. Step 4: Simplify right side
    4,003,920x = 38,501,137,690,112.25
  5. Step 5: Solve for x
    x = 38,501,137,690,112.25/4,003,920
  6. Step 6: Final answer
    x = 9,615,860.88

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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.