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Finding the Third Proportional to 2,068,096 and 4,374,644

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Solution

The third proportional to 2,068,096 and 4,374,644 is: 9,253,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,096 : 4,374,644 = 4,374,644 : x
  2. Step 2: Convert to fraction form
    2,068,096/4,374,644 = 4,374,644/x
  3. Step 3: Cross multiply
    2,068,096x = 4,374,644 × 4,374,644
  4. Step 4: Simplify right side
    2,068,096x = 19,137,510,126,736
  5. Step 5: Solve for x
    x = 19,137,510,126,736/2,068,096
  6. Step 6: Final answer
    x = 9,253,685.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.