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Finding the Third Proportional to 599,049 and 1,289,432.25

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Solution

The third proportional to 599,049 and 1,289,432.25 is: 2,775,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,049 : 1,289,432.25 = 1,289,432.25 : x
  2. Step 2: Convert to fraction form
    599,049/1,289,432.25 = 1,289,432.25/x
  3. Step 3: Cross multiply
    599,049x = 1,289,432.25 × 1,289,432.25
  4. Step 4: Simplify right side
    599,049x = 1,662,635,527,340.06
  5. Step 5: Solve for x
    x = 1,662,635,527,340.06/599,049
  6. Step 6: Final answer
    x = 2,775,458.31

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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.