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Finding the Third Proportional to 4,374,778 and 6,848,896

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Solution

The third proportional to 4,374,778 and 6,848,896 is: 10,722,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374,778 : 6,848,896 = 6,848,896 : x
  2. Step 2: Convert to fraction form
    4,374,778/6,848,896 = 6,848,896/x
  3. Step 3: Cross multiply
    4,374,778x = 6,848,896 × 6,848,896
  4. Step 4: Simplify right side
    4,374,778x = 46,907,376,418,816
  5. Step 5: Solve for x
    x = 46,907,376,418,816/4,374,778
  6. Step 6: Final answer
    x = 10,722,230.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.