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Finding the Third Proportional to 559,712 and 1,207,876

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Solution

The third proportional to 559,712 and 1,207,876 is: 2,606,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,712 : 1,207,876 = 1,207,876 : x
  2. Step 2: Convert to fraction form
    559,712/1,207,876 = 1,207,876/x
  3. Step 3: Cross multiply
    559,712x = 1,207,876 × 1,207,876
  4. Step 4: Simplify right side
    559,712x = 1,458,964,431,376
  5. Step 5: Solve for x
    x = 1,458,964,431,376/559,712
  6. Step 6: Final answer
    x = 2,606,634.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.