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Finding the Third Proportional to 436,724 and 925,938

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Solution

The third proportional to 436,724 and 925,938 is: 1,963,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,724 : 925,938 = 925,938 : x
  2. Step 2: Convert to fraction form
    436,724/925,938 = 925,938/x
  3. Step 3: Cross multiply
    436,724x = 925,938 × 925,938
  4. Step 4: Simplify right side
    436,724x = 857,361,179,844
  5. Step 5: Solve for x
    x = 857,361,179,844/436,724
  6. Step 6: Final answer
    x = 1,963,164.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.