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Finding the Third Proportional to 796,088 and 1,193,640

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Solution

The third proportional to 796,088 and 1,193,640 is: 1,789,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,088 : 1,193,640 = 1,193,640 : x
  2. Step 2: Convert to fraction form
    796,088/1,193,640 = 1,193,640/x
  3. Step 3: Cross multiply
    796,088x = 1,193,640 × 1,193,640
  4. Step 4: Simplify right side
    796,088x = 1,424,776,449,600
  5. Step 5: Solve for x
    x = 1,424,776,449,600/796,088
  6. Step 6: Final answer
    x = 1,789,722.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.