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Finding the Third Proportional to 978,022 and 1,496,093

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Solution

The third proportional to 978,022 and 1,496,093 is: 2,288,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,022 : 1,496,093 = 1,496,093 : x
  2. Step 2: Convert to fraction form
    978,022/1,496,093 = 1,496,093/x
  3. Step 3: Cross multiply
    978,022x = 1,496,093 × 1,496,093
  4. Step 4: Simplify right side
    978,022x = 2,238,294,264,649
  5. Step 5: Solve for x
    x = 2,238,294,264,649/978,022
  6. Step 6: Final answer
    x = 2,288,592.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.