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Finding the Third Proportional to 625,420 and 1,474,858

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Solution

The third proportional to 625,420 and 1,474,858 is: 3,477,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,420 : 1,474,858 = 1,474,858 : x
  2. Step 2: Convert to fraction form
    625,420/1,474,858 = 1,474,858/x
  3. Step 3: Cross multiply
    625,420x = 1,474,858 × 1,474,858
  4. Step 4: Simplify right side
    625,420x = 2,175,206,120,164
  5. Step 5: Solve for x
    x = 2,175,206,120,164/625,420
  6. Step 6: Final answer
    x = 3,477,992.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.