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Finding the Third Proportional to 741,018 and 1,148,135

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Solution

The third proportional to 741,018 and 1,148,135 is: 1,778,923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,018 : 1,148,135 = 1,148,135 : x
  2. Step 2: Convert to fraction form
    741,018/1,148,135 = 1,148,135/x
  3. Step 3: Cross multiply
    741,018x = 1,148,135 × 1,148,135
  4. Step 4: Simplify right side
    741,018x = 1,318,213,978,225
  5. Step 5: Solve for x
    x = 1,318,213,978,225/741,018
  6. Step 6: Final answer
    x = 1,778,923.02

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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.