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Finding the Third Proportional to 436,712.34 and 925,912.69

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Solution

The third proportional to 436,712.34 and 925,912.69 is: 1,963,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,712.34 : 925,912.69 = 925,912.69 : x
  2. Step 2: Convert to fraction form
    436,712.34/925,912.69 = 925,912.69/x
  3. Step 3: Cross multiply
    436,712.34x = 925,912.69 × 925,912.69
  4. Step 4: Simplify right side
    436,712.34x = 857,314,304,873.47
  5. Step 5: Solve for x
    x = 857,314,304,873.47/436,712.34
  6. Step 6: Final answer
    x = 1,963,109.85

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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.