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Finding the Third Proportional to 773,991 and 1,138,236

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Solution

The third proportional to 773,991 and 1,138,236 is: 1,673,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,991 : 1,138,236 = 1,138,236 : x
  2. Step 2: Convert to fraction form
    773,991/1,138,236 = 1,138,236/x
  3. Step 3: Cross multiply
    773,991x = 1,138,236 × 1,138,236
  4. Step 4: Simplify right side
    773,991x = 1,295,581,191,696
  5. Step 5: Solve for x
    x = 1,295,581,191,696/773,991
  6. Step 6: Final answer
    x = 1,673,896.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.