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Finding the Third Proportional to 669,452 and 1,019,859

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Solution

The third proportional to 669,452 and 1,019,859 is: 1,553,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,452 : 1,019,859 = 1,019,859 : x
  2. Step 2: Convert to fraction form
    669,452/1,019,859 = 1,019,859/x
  3. Step 3: Cross multiply
    669,452x = 1,019,859 × 1,019,859
  4. Step 4: Simplify right side
    669,452x = 1,040,112,379,881
  5. Step 5: Solve for x
    x = 1,040,112,379,881/669,452
  6. Step 6: Final answer
    x = 1,553,677.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.