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Finding the Third Proportional to 2,392,880 and 3,678,000

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Solution

The third proportional to 2,392,880 and 3,678,000 is: 5,653,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392,880 : 3,678,000 = 3,678,000 : x
  2. Step 2: Convert to fraction form
    2,392,880/3,678,000 = 3,678,000/x
  3. Step 3: Cross multiply
    2,392,880x = 3,678,000 × 3,678,000
  4. Step 4: Simplify right side
    2,392,880x = 13,527,684,000,000
  5. Step 5: Solve for x
    x = 13,527,684,000,000/2,392,880
  6. Step 6: Final answer
    x = 5,653,306.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.