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Finding the Third Proportional to 650,726 and 1,333,163

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Solution

The third proportional to 650,726 and 1,333,163 is: 2,731,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,726 : 1,333,163 = 1,333,163 : x
  2. Step 2: Convert to fraction form
    650,726/1,333,163 = 1,333,163/x
  3. Step 3: Cross multiply
    650,726x = 1,333,163 × 1,333,163
  4. Step 4: Simplify right side
    650,726x = 1,777,323,584,569
  5. Step 5: Solve for x
    x = 1,777,323,584,569/650,726
  6. Step 6: Final answer
    x = 2,731,293.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.