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Finding the Third Proportional to 811,138 and 1,174,884

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Solution

The third proportional to 811,138 and 1,174,884 is: 1,701,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,138 : 1,174,884 = 1,174,884 : x
  2. Step 2: Convert to fraction form
    811,138/1,174,884 = 1,174,884/x
  3. Step 3: Cross multiply
    811,138x = 1,174,884 × 1,174,884
  4. Step 4: Simplify right side
    811,138x = 1,380,352,413,456
  5. Step 5: Solve for x
    x = 1,380,352,413,456/811,138
  6. Step 6: Final answer
    x = 1,701,747.93

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.