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Finding the Third Proportional to 2,301,314 and 3,451,971

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Solution

The third proportional to 2,301,314 and 3,451,971 is: 5,177,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,314 : 3,451,971 = 3,451,971 : x
  2. Step 2: Convert to fraction form
    2,301,314/3,451,971 = 3,451,971/x
  3. Step 3: Cross multiply
    2,301,314x = 3,451,971 × 3,451,971
  4. Step 4: Simplify right side
    2,301,314x = 11,916,103,784,841
  5. Step 5: Solve for x
    x = 11,916,103,784,841/2,301,314
  6. Step 6: Final answer
    x = 5,177,956.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.