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Finding the Third Proportional to 4,850,258 and 6,743,822

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Solution

The third proportional to 4,850,258 and 6,743,822 is: 9,376,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850,258 : 6,743,822 = 6,743,822 : x
  2. Step 2: Convert to fraction form
    4,850,258/6,743,822 = 6,743,822/x
  3. Step 3: Cross multiply
    4,850,258x = 6,743,822 × 6,743,822
  4. Step 4: Simplify right side
    4,850,258x = 45,479,135,167,684
  5. Step 5: Solve for x
    x = 45,479,135,167,684/4,850,258
  6. Step 6: Final answer
    x = 9,376,642.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.