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Finding the Third Proportional to 945,199 and 2,074,107

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Solution

The third proportional to 945,199 and 2,074,107 is: 4,551,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,199 : 2,074,107 = 2,074,107 : x
  2. Step 2: Convert to fraction form
    945,199/2,074,107 = 2,074,107/x
  3. Step 3: Cross multiply
    945,199x = 2,074,107 × 2,074,107
  4. Step 4: Simplify right side
    945,199x = 4,301,919,847,449
  5. Step 5: Solve for x
    x = 4,301,919,847,449/945,199
  6. Step 6: Final answer
    x = 4,551,337.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.