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Finding the Third Proportional to 478,844 and 1,002,044

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Solution

The third proportional to 478,844 and 1,002,044 is: 2,096,908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,844 : 1,002,044 = 1,002,044 : x
  2. Step 2: Convert to fraction form
    478,844/1,002,044 = 1,002,044/x
  3. Step 3: Cross multiply
    478,844x = 1,002,044 × 1,002,044
  4. Step 4: Simplify right side
    478,844x = 1,004,092,177,936
  5. Step 5: Solve for x
    x = 1,004,092,177,936/478,844
  6. Step 6: Final answer
    x = 2,096,908.76

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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.