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Finding the Third Proportional to 839,194 and 1,265,758

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Solution

The third proportional to 839,194 and 1,265,758 is: 1,909,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,194 : 1,265,758 = 1,265,758 : x
  2. Step 2: Convert to fraction form
    839,194/1,265,758 = 1,265,758/x
  3. Step 3: Cross multiply
    839,194x = 1,265,758 × 1,265,758
  4. Step 4: Simplify right side
    839,194x = 1,602,143,314,564
  5. Step 5: Solve for x
    x = 1,602,143,314,564/839,194
  6. Step 6: Final answer
    x = 1,909,145.34

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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.