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Finding the Third Proportional to 677,008 and 1,459,814

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Solution

The third proportional to 677,008 and 1,459,814 is: 3,147,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,008 : 1,459,814 = 1,459,814 : x
  2. Step 2: Convert to fraction form
    677,008/1,459,814 = 1,459,814/x
  3. Step 3: Cross multiply
    677,008x = 1,459,814 × 1,459,814
  4. Step 4: Simplify right side
    677,008x = 2,131,056,914,596
  5. Step 5: Solve for x
    x = 2,131,056,914,596/677,008
  6. Step 6: Final answer
    x = 3,147,757.36

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