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Finding the Third Proportional to 990,414 and 2,170,134

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Solution

The third proportional to 990,414 and 2,170,134 is: 4,755,063.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,414 : 2,170,134 = 2,170,134 : x
  2. Step 2: Convert to fraction form
    990,414/2,170,134 = 2,170,134/x
  3. Step 3: Cross multiply
    990,414x = 2,170,134 × 2,170,134
  4. Step 4: Simplify right side
    990,414x = 4,709,481,577,956
  5. Step 5: Solve for x
    x = 4,709,481,577,956/990,414
  6. Step 6: Final answer
    x = 4,755,063.62

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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.