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Finding the Third Proportional to 415,504 and 893,072

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Solution

The third proportional to 415,504 and 893,072 is: 1,919,542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,504 : 893,072 = 893,072 : x
  2. Step 2: Convert to fraction form
    415,504/893,072 = 893,072/x
  3. Step 3: Cross multiply
    415,504x = 893,072 × 893,072
  4. Step 4: Simplify right side
    415,504x = 797,577,597,184
  5. Step 5: Solve for x
    x = 797,577,597,184/415,504
  6. Step 6: Final answer
    x = 1,919,542.52

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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.