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Finding the Third Proportional to 853,138 and 1,285,114

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Solution

The third proportional to 853,138 and 1,285,114 is: 1,935,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,138 : 1,285,114 = 1,285,114 : x
  2. Step 2: Convert to fraction form
    853,138/1,285,114 = 1,285,114/x
  3. Step 3: Cross multiply
    853,138x = 1,285,114 × 1,285,114
  4. Step 4: Simplify right side
    853,138x = 1,651,517,992,996
  5. Step 5: Solve for x
    x = 1,651,517,992,996/853,138
  6. Step 6: Final answer
    x = 1,935,815.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.