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Finding the Third Proportional to 797,728 and 1,197,142

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Solution

The third proportional to 797,728 and 1,197,142 is: 1,796,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,728 : 1,197,142 = 1,197,142 : x
  2. Step 2: Convert to fraction form
    797,728/1,197,142 = 1,197,142/x
  3. Step 3: Cross multiply
    797,728x = 1,197,142 × 1,197,142
  4. Step 4: Simplify right side
    797,728x = 1,433,148,968,164
  5. Step 5: Solve for x
    x = 1,433,148,968,164/797,728
  6. Step 6: Final answer
    x = 1,796,538.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.