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Finding the Third Proportional to 839,197 and 1,265,763

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Solution

The third proportional to 839,197 and 1,265,763 is: 1,909,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,197 : 1,265,763 = 1,265,763 : x
  2. Step 2: Convert to fraction form
    839,197/1,265,763 = 1,265,763/x
  3. Step 3: Cross multiply
    839,197x = 1,265,763 × 1,265,763
  4. Step 4: Simplify right side
    839,197x = 1,602,155,972,169
  5. Step 5: Solve for x
    x = 1,602,155,972,169/839,197
  6. Step 6: Final answer
    x = 1,909,153.60

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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.