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Finding the Third Proportional to 539,634 and 791,954

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Solution

The third proportional to 539,634 and 791,954 is: 1,162,252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,634 : 791,954 = 791,954 : x
  2. Step 2: Convert to fraction form
    539,634/791,954 = 791,954/x
  3. Step 3: Cross multiply
    539,634x = 791,954 × 791,954
  4. Step 4: Simplify right side
    539,634x = 627,191,138,116
  5. Step 5: Solve for x
    x = 627,191,138,116/539,634
  6. Step 6: Final answer
    x = 1,162,252.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.