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Finding the Third Proportional to 478,851 and 1,002,057

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Solution

The third proportional to 478,851 and 1,002,057 is: 2,096,932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,851 : 1,002,057 = 1,002,057 : x
  2. Step 2: Convert to fraction form
    478,851/1,002,057 = 1,002,057/x
  3. Step 3: Cross multiply
    478,851x = 1,002,057 × 1,002,057
  4. Step 4: Simplify right side
    478,851x = 1,004,118,231,249
  5. Step 5: Solve for x
    x = 1,004,118,231,249/478,851
  6. Step 6: Final answer
    x = 2,096,932.51

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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.