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Finding the Third Proportional to 809,944 and 1,287,256

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Solution

The third proportional to 809,944 and 1,287,256 is: 2,045,855.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,944 : 1,287,256 = 1,287,256 : x
  2. Step 2: Convert to fraction form
    809,944/1,287,256 = 1,287,256/x
  3. Step 3: Cross multiply
    809,944x = 1,287,256 × 1,287,256
  4. Step 4: Simplify right side
    809,944x = 1,657,028,009,536
  5. Step 5: Solve for x
    x = 1,657,028,009,536/809,944
  6. Step 6: Final answer
    x = 2,045,855.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.