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Finding the Third Proportional to 669,408 and 1,019,816

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Solution

The third proportional to 669,408 and 1,019,816 is: 1,553,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,408 : 1,019,816 = 1,019,816 : x
  2. Step 2: Convert to fraction form
    669,408/1,019,816 = 1,019,816/x
  3. Step 3: Cross multiply
    669,408x = 1,019,816 × 1,019,816
  4. Step 4: Simplify right side
    669,408x = 1,040,024,673,856
  5. Step 5: Solve for x
    x = 1,040,024,673,856/669,408
  6. Step 6: Final answer
    x = 1,553,648.41

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