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Finding the Third Proportional to 651,126 and 1,008,096

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Solution

The third proportional to 651,126 and 1,008,096 is: 1,560,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,126 : 1,008,096 = 1,008,096 : x
  2. Step 2: Convert to fraction form
    651,126/1,008,096 = 1,008,096/x
  3. Step 3: Cross multiply
    651,126x = 1,008,096 × 1,008,096
  4. Step 4: Simplify right side
    651,126x = 1,016,257,545,216
  5. Step 5: Solve for x
    x = 1,016,257,545,216/651,126
  6. Step 6: Final answer
    x = 1,560,769.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.