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Finding the Third Proportional to 436,696 and 925,878

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Solution

The third proportional to 436,696 and 925,878 is: 1,963,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,696 : 925,878 = 925,878 : x
  2. Step 2: Convert to fraction form
    436,696/925,878 = 925,878/x
  3. Step 3: Cross multiply
    436,696x = 925,878 × 925,878
  4. Step 4: Simplify right side
    436,696x = 857,250,070,884
  5. Step 5: Solve for x
    x = 857,250,070,884/436,696
  6. Step 6: Final answer
    x = 1,963,036.23

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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.