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Finding the Third Proportional to 1,171,971 and 2,376,540

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Solution

The third proportional to 1,171,971 and 2,376,540 is: 4,819,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,971 : 2,376,540 = 2,376,540 : x
  2. Step 2: Convert to fraction form
    1,171,971/2,376,540 = 2,376,540/x
  3. Step 3: Cross multiply
    1,171,971x = 2,376,540 × 2,376,540
  4. Step 4: Simplify right side
    1,171,971x = 5,647,942,371,600
  5. Step 5: Solve for x
    x = 5,647,942,371,600/1,171,971
  6. Step 6: Final answer
    x = 4,819,182.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.