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Finding the Third Proportional to 650,743 and 1,333,190

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Solution

The third proportional to 650,743 and 1,333,190 is: 2,731,332.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,743 : 1,333,190 = 1,333,190 : x
  2. Step 2: Convert to fraction form
    650,743/1,333,190 = 1,333,190/x
  3. Step 3: Cross multiply
    650,743x = 1,333,190 × 1,333,190
  4. Step 4: Simplify right side
    650,743x = 1,777,395,576,100
  5. Step 5: Solve for x
    x = 1,777,395,576,100/650,743
  6. Step 6: Final answer
    x = 2,731,332.61

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