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Finding the Third Proportional to 415,615 and 894,790

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Solution

The third proportional to 415,615 and 894,790 is: 1,926,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,615 : 894,790 = 894,790 : x
  2. Step 2: Convert to fraction form
    415,615/894,790 = 894,790/x
  3. Step 3: Cross multiply
    415,615x = 894,790 × 894,790
  4. Step 4: Simplify right side
    415,615x = 800,649,144,100
  5. Step 5: Solve for x
    x = 800,649,144,100/415,615
  6. Step 6: Final answer
    x = 1,926,420.23

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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.