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Finding the Third Proportional to 492,801 and 1,059,219

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Solution

The third proportional to 492,801 and 1,059,219 is: 2,276,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,801 : 1,059,219 = 1,059,219 : x
  2. Step 2: Convert to fraction form
    492,801/1,059,219 = 1,059,219/x
  3. Step 3: Cross multiply
    492,801x = 1,059,219 × 1,059,219
  4. Step 4: Simplify right side
    492,801x = 1,121,944,889,961
  5. Step 5: Solve for x
    x = 1,121,944,889,961/492,801
  6. Step 6: Final answer
    x = 2,276,669.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.