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Finding the Third Proportional to 508,380 and 1,004,004

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Solution

The third proportional to 508,380 and 1,004,004 is: 1,982,816.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,380 : 1,004,004 = 1,004,004 : x
  2. Step 2: Convert to fraction form
    508,380/1,004,004 = 1,004,004/x
  3. Step 3: Cross multiply
    508,380x = 1,004,004 × 1,004,004
  4. Step 4: Simplify right side
    508,380x = 1,008,024,032,016
  5. Step 5: Solve for x
    x = 1,008,024,032,016/508,380
  6. Step 6: Final answer
    x = 1,982,816.07

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.