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Finding the Third Proportional to 490,902 and 1,059,260

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Solution

The third proportional to 490,902 and 1,059,260 is: 2,285,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,902 : 1,059,260 = 1,059,260 : x
  2. Step 2: Convert to fraction form
    490,902/1,059,260 = 1,059,260/x
  3. Step 3: Cross multiply
    490,902x = 1,059,260 × 1,059,260
  4. Step 4: Simplify right side
    490,902x = 1,122,031,747,600
  5. Step 5: Solve for x
    x = 1,122,031,747,600/490,902
  6. Step 6: Final answer
    x = 2,285,653.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.