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Finding the Third Proportional to 482,406 and 1,018,326

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Solution

The third proportional to 482,406 and 1,018,326 is: 2,149,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,406 : 1,018,326 = 1,018,326 : x
  2. Step 2: Convert to fraction form
    482,406/1,018,326 = 1,018,326/x
  3. Step 3: Cross multiply
    482,406x = 1,018,326 × 1,018,326
  4. Step 4: Simplify right side
    482,406x = 1,036,987,842,276
  5. Step 5: Solve for x
    x = 1,036,987,842,276/482,406
  6. Step 6: Final answer
    x = 2,149,616.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.