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Finding the Third Proportional to 591,254 and 1,296,963

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Solution

The third proportional to 591,254 and 1,296,963 is: 2,844,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,254 : 1,296,963 = 1,296,963 : x
  2. Step 2: Convert to fraction form
    591,254/1,296,963 = 1,296,963/x
  3. Step 3: Cross multiply
    591,254x = 1,296,963 × 1,296,963
  4. Step 4: Simplify right side
    591,254x = 1,682,113,023,369
  5. Step 5: Solve for x
    x = 1,682,113,023,369/591,254
  6. Step 6: Final answer
    x = 2,844,992.21

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Why These Related Problems?

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