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Finding the Third Proportional to 415,505 and 893,074

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Solution

The third proportional to 415,505 and 893,074 is: 1,919,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,505 : 893,074 = 893,074 : x
  2. Step 2: Convert to fraction form
    415,505/893,074 = 893,074/x
  3. Step 3: Cross multiply
    415,505x = 893,074 × 893,074
  4. Step 4: Simplify right side
    415,505x = 797,581,169,476
  5. Step 5: Solve for x
    x = 797,581,169,476/415,505
  6. Step 6: Final answer
    x = 1,919,546.50

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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.