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Finding the Third Proportional to 809,866.13 and 1,772,270.44

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Solution

The third proportional to 809,866.13 and 1,772,270.44 is: 3,878,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,866.13 : 1,772,270.44 = 1,772,270.44 : x
  2. Step 2: Convert to fraction form
    809,866.13/1,772,270.44 = 1,772,270.44/x
  3. Step 3: Cross multiply
    809,866.13x = 1,772,270.44 × 1,772,270.44
  4. Step 4: Simplify right side
    809,866.13x = 3,140,942,503,636.44
  5. Step 5: Solve for x
    x = 3,140,942,503,636.44/809,866.13
  6. Step 6: Final answer
    x = 3,878,347.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.