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Finding the Third Proportional to 2,183,400 and 4,737,888

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Solution

The third proportional to 2,183,400 and 4,737,888 is: 10,281,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,400 : 4,737,888 = 4,737,888 : x
  2. Step 2: Convert to fraction form
    2,183,400/4,737,888 = 4,737,888/x
  3. Step 3: Cross multiply
    2,183,400x = 4,737,888 × 4,737,888
  4. Step 4: Simplify right side
    2,183,400x = 22,447,582,700,544
  5. Step 5: Solve for x
    x = 22,447,582,700,544/2,183,400
  6. Step 6: Final answer
    x = 10,281,021.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.