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Finding the Third Proportional to 492,801 and 1,069,255

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Solution

The third proportional to 492,801 and 1,069,255 is: 2,320,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,801 : 1,069,255 = 1,069,255 : x
  2. Step 2: Convert to fraction form
    492,801/1,069,255 = 1,069,255/x
  3. Step 3: Cross multiply
    492,801x = 1,069,255 × 1,069,255
  4. Step 4: Simplify right side
    492,801x = 1,143,306,255,025
  5. Step 5: Solve for x
    x = 1,143,306,255,025/492,801
  6. Step 6: Final answer
    x = 2,320,016.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.