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Finding the Third Proportional to 2,170,398 and 3,192,873

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Solution

The third proportional to 2,170,398 and 3,192,873 is: 4,697,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,398 : 3,192,873 = 3,192,873 : x
  2. Step 2: Convert to fraction form
    2,170,398/3,192,873 = 3,192,873/x
  3. Step 3: Cross multiply
    2,170,398x = 3,192,873 × 3,192,873
  4. Step 4: Simplify right side
    2,170,398x = 10,194,437,994,129
  5. Step 5: Solve for x
    x = 10,194,437,994,129/2,170,398
  6. Step 6: Final answer
    x = 4,697,036.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.