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Finding the Third Proportional to 410,721 and 898,868

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Solution

The third proportional to 410,721 and 898,868 is: 1,967,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,721 : 898,868 = 898,868 : x
  2. Step 2: Convert to fraction form
    410,721/898,868 = 898,868/x
  3. Step 3: Cross multiply
    410,721x = 898,868 × 898,868
  4. Step 4: Simplify right side
    410,721x = 807,963,681,424
  5. Step 5: Solve for x
    x = 807,963,681,424/410,721
  6. Step 6: Final answer
    x = 1,967,183.76

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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.