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Finding the Third Proportional to 621,856 and 1,318,443

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Solution

The third proportional to 621,856 and 1,318,443 is: 2,795,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,856 : 1,318,443 = 1,318,443 : x
  2. Step 2: Convert to fraction form
    621,856/1,318,443 = 1,318,443/x
  3. Step 3: Cross multiply
    621,856x = 1,318,443 × 1,318,443
  4. Step 4: Simplify right side
    621,856x = 1,738,291,944,249
  5. Step 5: Solve for x
    x = 1,738,291,944,249/621,856
  6. Step 6: Final answer
    x = 2,795,328.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.