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Finding the Third Proportional to 676,825 and 1,444,984

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Solution

The third proportional to 676,825 and 1,444,984 is: 3,084,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,825 : 1,444,984 = 1,444,984 : x
  2. Step 2: Convert to fraction form
    676,825/1,444,984 = 1,444,984/x
  3. Step 3: Cross multiply
    676,825x = 1,444,984 × 1,444,984
  4. Step 4: Simplify right side
    676,825x = 2,087,978,760,256
  5. Step 5: Solve for x
    x = 2,087,978,760,256/676,825
  6. Step 6: Final answer
    x = 3,084,961.05

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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.