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Finding the Third Proportional to 3,197,780.25 and 4,920,180

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Solution

The third proportional to 3,197,780.25 and 4,920,180 is: 7,570,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197,780.25 : 4,920,180 = 4,920,180 : x
  2. Step 2: Convert to fraction form
    3,197,780.25/4,920,180 = 4,920,180/x
  3. Step 3: Cross multiply
    3,197,780.25x = 4,920,180 × 4,920,180
  4. Step 4: Simplify right side
    3,197,780.25x = 24,208,171,232,400
  5. Step 5: Solve for x
    x = 24,208,171,232,400/3,197,780.25
  6. Step 6: Final answer
    x = 7,570,304.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.