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Finding the Third Proportional to 491,305 and 1,069,108

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Solution

The third proportional to 491,305 and 1,069,108 is: 2,326,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,305 : 1,069,108 = 1,069,108 : x
  2. Step 2: Convert to fraction form
    491,305/1,069,108 = 1,069,108/x
  3. Step 3: Cross multiply
    491,305x = 1,069,108 × 1,069,108
  4. Step 4: Simplify right side
    491,305x = 1,142,991,915,664
  5. Step 5: Solve for x
    x = 1,142,991,915,664/491,305
  6. Step 6: Final answer
    x = 2,326,440.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.