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Finding the Third Proportional to 490,473 and 1,047,474

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Solution

The third proportional to 490,473 and 1,047,474 is: 2,237,027.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,473 : 1,047,474 = 1,047,474 : x
  2. Step 2: Convert to fraction form
    490,473/1,047,474 = 1,047,474/x
  3. Step 3: Cross multiply
    490,473x = 1,047,474 × 1,047,474
  4. Step 4: Simplify right side
    490,473x = 1,097,201,780,676
  5. Step 5: Solve for x
    x = 1,097,201,780,676/490,473
  6. Step 6: Final answer
    x = 2,237,027.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.