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Finding the Third Proportional to 2,367,179 and 5,177,211

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Solution

The third proportional to 2,367,179 and 5,177,211 is: 11,322,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367,179 : 5,177,211 = 5,177,211 : x
  2. Step 2: Convert to fraction form
    2,367,179/5,177,211 = 5,177,211/x
  3. Step 3: Cross multiply
    2,367,179x = 5,177,211 × 5,177,211
  4. Step 4: Simplify right side
    2,367,179x = 26,803,513,738,521
  5. Step 5: Solve for x
    x = 26,803,513,738,521/2,367,179
  6. Step 6: Final answer
    x = 11,322,977.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.