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Finding the Third Proportional to 490,724 and 1,051,400

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Solution

The third proportional to 490,724 and 1,051,400 is: 2,252,675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,724 : 1,051,400 = 1,051,400 : x
  2. Step 2: Convert to fraction form
    490,724/1,051,400 = 1,051,400/x
  3. Step 3: Cross multiply
    490,724x = 1,051,400 × 1,051,400
  4. Step 4: Simplify right side
    490,724x = 1,105,441,960,000
  5. Step 5: Solve for x
    x = 1,105,441,960,000/490,724
  6. Step 6: Final answer
    x = 2,252,675.56

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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.