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Finding the Third Proportional to 839,226 and 1,265,802

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Solution

The third proportional to 839,226 and 1,265,802 is: 1,909,205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,226 : 1,265,802 = 1,265,802 : x
  2. Step 2: Convert to fraction form
    839,226/1,265,802 = 1,265,802/x
  3. Step 3: Cross multiply
    839,226x = 1,265,802 × 1,265,802
  4. Step 4: Simplify right side
    839,226x = 1,602,254,703,204
  5. Step 5: Solve for x
    x = 1,602,254,703,204/839,226
  6. Step 6: Final answer
    x = 1,909,205.27

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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.