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Finding the Third Proportional to 599,976 and 1,267,416

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Solution

The third proportional to 599,976 and 1,267,416 is: 2,677,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,976 : 1,267,416 = 1,267,416 : x
  2. Step 2: Convert to fraction form
    599,976/1,267,416 = 1,267,416/x
  3. Step 3: Cross multiply
    599,976x = 1,267,416 × 1,267,416
  4. Step 4: Simplify right side
    599,976x = 1,606,343,317,056
  5. Step 5: Solve for x
    x = 1,606,343,317,056/599,976
  6. Step 6: Final answer
    x = 2,677,345.96

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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.