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Finding the Third Proportional to 809,775 and 1,772,094

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Solution

The third proportional to 809,775 and 1,772,094 is: 3,878,011.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,775 : 1,772,094 = 1,772,094 : x
  2. Step 2: Convert to fraction form
    809,775/1,772,094 = 1,772,094/x
  3. Step 3: Cross multiply
    809,775x = 1,772,094 × 1,772,094
  4. Step 4: Simplify right side
    809,775x = 3,140,317,144,836
  5. Step 5: Solve for x
    x = 3,140,317,144,836/809,775
  6. Step 6: Final answer
    x = 3,878,011.97

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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.