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Finding the Third Proportional to 593,622 and 1,315,296

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Solution

The third proportional to 593,622 and 1,315,296 is: 2,914,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,622 : 1,315,296 = 1,315,296 : x
  2. Step 2: Convert to fraction form
    593,622/1,315,296 = 1,315,296/x
  3. Step 3: Cross multiply
    593,622x = 1,315,296 × 1,315,296
  4. Step 4: Simplify right side
    593,622x = 1,730,003,567,616
  5. Step 5: Solve for x
    x = 1,730,003,567,616/593,622
  6. Step 6: Final answer
    x = 2,914,318.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.