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Finding the Third Proportional to 825,790 and 1,263,368

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Solution

The third proportional to 825,790 and 1,263,368 is: 1,932,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,790 : 1,263,368 = 1,263,368 : x
  2. Step 2: Convert to fraction form
    825,790/1,263,368 = 1,263,368/x
  3. Step 3: Cross multiply
    825,790x = 1,263,368 × 1,263,368
  4. Step 4: Simplify right side
    825,790x = 1,596,098,703,424
  5. Step 5: Solve for x
    x = 1,596,098,703,424/825,790
  6. Step 6: Final answer
    x = 1,932,814.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.