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Finding the Third Proportional to 599,901 and 1,267,248

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Solution

The third proportional to 599,901 and 1,267,248 is: 2,676,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,901 : 1,267,248 = 1,267,248 : x
  2. Step 2: Convert to fraction form
    599,901/1,267,248 = 1,267,248/x
  3. Step 3: Cross multiply
    599,901x = 1,267,248 × 1,267,248
  4. Step 4: Simplify right side
    599,901x = 1,605,917,493,504
  5. Step 5: Solve for x
    x = 1,605,917,493,504/599,901
  6. Step 6: Final answer
    x = 2,676,970.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.