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Finding the Third Proportional to 389,769 and 854,018

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Solution

The third proportional to 389,769 and 854,018 is: 1,871,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,769 : 854,018 = 854,018 : x
  2. Step 2: Convert to fraction form
    389,769/854,018 = 854,018/x
  3. Step 3: Cross multiply
    389,769x = 854,018 × 854,018
  4. Step 4: Simplify right side
    389,769x = 729,346,744,324
  5. Step 5: Solve for x
    x = 729,346,744,324/389,769
  6. Step 6: Final answer
    x = 1,871,228.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.