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Finding the Third Proportional to 415,936 and 911,036

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Solution

The third proportional to 415,936 and 911,036 is: 1,995,467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,936 : 911,036 = 911,036 : x
  2. Step 2: Convert to fraction form
    415,936/911,036 = 911,036/x
  3. Step 3: Cross multiply
    415,936x = 911,036 × 911,036
  4. Step 4: Simplify right side
    415,936x = 829,986,593,296
  5. Step 5: Solve for x
    x = 829,986,593,296/415,936
  6. Step 6: Final answer
    x = 1,995,467.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.