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Finding the Third Proportional to 490,722 and 1,051,396

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Solution

The third proportional to 490,722 and 1,051,396 is: 2,252,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,722 : 1,051,396 = 1,051,396 : x
  2. Step 2: Convert to fraction form
    490,722/1,051,396 = 1,051,396/x
  3. Step 3: Cross multiply
    490,722x = 1,051,396 × 1,051,396
  4. Step 4: Simplify right side
    490,722x = 1,105,433,548,816
  5. Step 5: Solve for x
    x = 1,105,433,548,816/490,722
  6. Step 6: Final answer
    x = 2,252,667.60

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