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Finding the Third Proportional to 676,821 and 1,444,997

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Solution

The third proportional to 676,821 and 1,444,997 is: 3,085,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,821 : 1,444,997 = 1,444,997 : x
  2. Step 2: Convert to fraction form
    676,821/1,444,997 = 1,444,997/x
  3. Step 3: Cross multiply
    676,821x = 1,444,997 × 1,444,997
  4. Step 4: Simplify right side
    676,821x = 2,088,016,330,009
  5. Step 5: Solve for x
    x = 2,088,016,330,009/676,821
  6. Step 6: Final answer
    x = 3,085,034.79

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.