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Finding the Third Proportional to 839,219 and 1,265,835

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Solution

The third proportional to 839,219 and 1,265,835 is: 1,909,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,219 : 1,265,835 = 1,265,835 : x
  2. Step 2: Convert to fraction form
    839,219/1,265,835 = 1,265,835/x
  3. Step 3: Cross multiply
    839,219x = 1,265,835 × 1,265,835
  4. Step 4: Simplify right side
    839,219x = 1,602,338,247,225
  5. Step 5: Solve for x
    x = 1,602,338,247,225/839,219
  6. Step 6: Final answer
    x = 1,909,320.75

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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.