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Finding the Third Proportional to 809,826 and 1,772,193.75

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Solution

The third proportional to 809,826 and 1,772,193.75 is: 3,878,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,826 : 1,772,193.75 = 1,772,193.75 : x
  2. Step 2: Convert to fraction form
    809,826/1,772,193.75 = 1,772,193.75/x
  3. Step 3: Cross multiply
    809,826x = 1,772,193.75 × 1,772,193.75
  4. Step 4: Simplify right side
    809,826x = 3,140,670,687,539.06
  5. Step 5: Solve for x
    x = 3,140,670,687,539.06/809,826
  6. Step 6: Final answer
    x = 3,878,204.31

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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.