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Finding the Third Proportional to 478,846 and 1,002,048

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Solution

The third proportional to 478,846 and 1,002,048 is: 2,096,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,846 : 1,002,048 = 1,002,048 : x
  2. Step 2: Convert to fraction form
    478,846/1,002,048 = 1,002,048/x
  3. Step 3: Cross multiply
    478,846x = 1,002,048 × 1,002,048
  4. Step 4: Simplify right side
    478,846x = 1,004,100,194,304
  5. Step 5: Solve for x
    x = 1,004,100,194,304/478,846
  6. Step 6: Final answer
    x = 2,096,916.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.