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Finding the Third Proportional to 599,235 and 1,286,598

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Solution

The third proportional to 599,235 and 1,286,598 is: 2,762,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,235 : 1,286,598 = 1,286,598 : x
  2. Step 2: Convert to fraction form
    599,235/1,286,598 = 1,286,598/x
  3. Step 3: Cross multiply
    599,235x = 1,286,598 × 1,286,598
  4. Step 4: Simplify right side
    599,235x = 1,655,334,413,604
  5. Step 5: Solve for x
    x = 1,655,334,413,604/599,235
  6. Step 6: Final answer
    x = 2,762,412.77

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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.