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Finding the Third Proportional to 415,953 and 894,954

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Solution

The third proportional to 415,953 and 894,954 is: 1,925,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,953 : 894,954 = 894,954 : x
  2. Step 2: Convert to fraction form
    415,953/894,954 = 894,954/x
  3. Step 3: Cross multiply
    415,953x = 894,954 × 894,954
  4. Step 4: Simplify right side
    415,953x = 800,942,662,116
  5. Step 5: Solve for x
    x = 800,942,662,116/415,953
  6. Step 6: Final answer
    x = 1,925,560.49

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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.