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Finding the Third Proportional to 854,906 and 1,329,027

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Solution

The third proportional to 854,906 and 1,329,027 is: 2,066,090.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,906 : 1,329,027 = 1,329,027 : x
  2. Step 2: Convert to fraction form
    854,906/1,329,027 = 1,329,027/x
  3. Step 3: Cross multiply
    854,906x = 1,329,027 × 1,329,027
  4. Step 4: Simplify right side
    854,906x = 1,766,312,766,729
  5. Step 5: Solve for x
    x = 1,766,312,766,729/854,906
  6. Step 6: Final answer
    x = 2,066,090.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.