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Finding the Third Proportional to 593,608 and 1,315,268

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Solution

The third proportional to 593,608 and 1,315,268 is: 2,914,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,608 : 1,315,268 = 1,315,268 : x
  2. Step 2: Convert to fraction form
    593,608/1,315,268 = 1,315,268/x
  3. Step 3: Cross multiply
    593,608x = 1,315,268 × 1,315,268
  4. Step 4: Simplify right side
    593,608x = 1,729,929,911,824
  5. Step 5: Solve for x
    x = 1,729,929,911,824/593,608
  6. Step 6: Final answer
    x = 2,914,263.14

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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.