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Finding the Third Proportional to 796,188 and 1,232,838

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Solution

The third proportional to 796,188 and 1,232,838 is: 1,908,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,188 : 1,232,838 = 1,232,838 : x
  2. Step 2: Convert to fraction form
    796,188/1,232,838 = 1,232,838/x
  3. Step 3: Cross multiply
    796,188x = 1,232,838 × 1,232,838
  4. Step 4: Simplify right side
    796,188x = 1,519,889,534,244
  5. Step 5: Solve for x
    x = 1,519,889,534,244/796,188
  6. Step 6: Final answer
    x = 1,908,958.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.