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Finding the Third Proportional to 3,937,340 and 6,168,449

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Solution

The third proportional to 3,937,340 and 6,168,449 is: 9,663,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937,340 : 6,168,449 = 6,168,449 : x
  2. Step 2: Convert to fraction form
    3,937,340/6,168,449 = 6,168,449/x
  3. Step 3: Cross multiply
    3,937,340x = 6,168,449 × 6,168,449
  4. Step 4: Simplify right side
    3,937,340x = 38,049,763,065,601
  5. Step 5: Solve for x
    x = 38,049,763,065,601/3,937,340
  6. Step 6: Final answer
    x = 9,663,824.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.