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Finding the Third Proportional to 591,264 and 1,296,982

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Solution

The third proportional to 591,264 and 1,296,982 is: 2,845,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,264 : 1,296,982 = 1,296,982 : x
  2. Step 2: Convert to fraction form
    591,264/1,296,982 = 1,296,982/x
  3. Step 3: Cross multiply
    591,264x = 1,296,982 × 1,296,982
  4. Step 4: Simplify right side
    591,264x = 1,682,162,308,324
  5. Step 5: Solve for x
    x = 1,682,162,308,324/591,264
  6. Step 6: Final answer
    x = 2,845,027.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.