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Finding the Third Proportional to 677,005 and 1,459,808

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Solution

The third proportional to 677,005 and 1,459,808 is: 3,147,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,005 : 1,459,808 = 1,459,808 : x
  2. Step 2: Convert to fraction form
    677,005/1,459,808 = 1,459,808/x
  3. Step 3: Cross multiply
    677,005x = 1,459,808 × 1,459,808
  4. Step 4: Simplify right side
    677,005x = 2,131,039,396,864
  5. Step 5: Solve for x
    x = 2,131,039,396,864/677,005
  6. Step 6: Final answer
    x = 3,147,745.43

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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.