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Finding the Third Proportional to 802,938 and 1,782,996

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Solution

The third proportional to 802,938 and 1,782,996 is: 3,959,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,938 : 1,782,996 = 1,782,996 : x
  2. Step 2: Convert to fraction form
    802,938/1,782,996 = 1,782,996/x
  3. Step 3: Cross multiply
    802,938x = 1,782,996 × 1,782,996
  4. Step 4: Simplify right side
    802,938x = 3,179,074,736,016
  5. Step 5: Solve for x
    x = 3,179,074,736,016/802,938
  6. Step 6: Final answer
    x = 3,959,302.88

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.