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Finding the Third Proportional to 599,238 and 1,286,604

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Solution

The third proportional to 599,238 and 1,286,604 is: 2,762,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,238 : 1,286,604 = 1,286,604 : x
  2. Step 2: Convert to fraction form
    599,238/1,286,604 = 1,286,604/x
  3. Step 3: Cross multiply
    599,238x = 1,286,604 × 1,286,604
  4. Step 4: Simplify right side
    599,238x = 1,655,349,852,816
  5. Step 5: Solve for x
    x = 1,655,349,852,816/599,238
  6. Step 6: Final answer
    x = 2,762,424.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.