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Finding the Third Proportional to 415,954 and 894,957

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Solution

The third proportional to 415,954 and 894,957 is: 1,925,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,954 : 894,957 = 894,957 : x
  2. Step 2: Convert to fraction form
    415,954/894,957 = 894,957/x
  3. Step 3: Cross multiply
    415,954x = 894,957 × 894,957
  4. Step 4: Simplify right side
    415,954x = 800,948,031,849
  5. Step 5: Solve for x
    x = 800,948,031,849/415,954
  6. Step 6: Final answer
    x = 1,925,568.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.