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Finding the Third Proportional to 1,167,864 and 2,510,325

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Solution

The third proportional to 1,167,864 and 2,510,325 is: 5,395,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,864 : 2,510,325 = 2,510,325 : x
  2. Step 2: Convert to fraction form
    1,167,864/2,510,325 = 2,510,325/x
  3. Step 3: Cross multiply
    1,167,864x = 2,510,325 × 2,510,325
  4. Step 4: Simplify right side
    1,167,864x = 6,301,731,605,625
  5. Step 5: Solve for x
    x = 6,301,731,605,625/1,167,864
  6. Step 6: Final answer
    x = 5,395,946.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.