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Finding the Third Proportional to 839,202 and 1,265,770

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Solution

The third proportional to 839,202 and 1,265,770 is: 1,909,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,202 : 1,265,770 = 1,265,770 : x
  2. Step 2: Convert to fraction form
    839,202/1,265,770 = 1,265,770/x
  3. Step 3: Cross multiply
    839,202x = 1,265,770 × 1,265,770
  4. Step 4: Simplify right side
    839,202x = 1,602,173,692,900
  5. Step 5: Solve for x
    x = 1,602,173,692,900/839,202
  6. Step 6: Final answer
    x = 1,909,163.34

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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.