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Finding the Third Proportional to 839,051 and 1,330,686

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Solution

The third proportional to 839,051 and 1,330,686 is: 2,110,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,051 : 1,330,686 = 1,330,686 : x
  2. Step 2: Convert to fraction form
    839,051/1,330,686 = 1,330,686/x
  3. Step 3: Cross multiply
    839,051x = 1,330,686 × 1,330,686
  4. Step 4: Simplify right side
    839,051x = 1,770,725,230,596
  5. Step 5: Solve for x
    x = 1,770,725,230,596/839,051
  6. Step 6: Final answer
    x = 2,110,390.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.