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Finding the Third Proportional to 415,504.69 and 893,080.69

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Solution

The third proportional to 415,504.69 and 893,080.69 is: 1,919,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,504.69 : 893,080.69 = 893,080.69 : x
  2. Step 2: Convert to fraction form
    415,504.69/893,080.69 = 893,080.69/x
  3. Step 3: Cross multiply
    415,504.69x = 893,080.69 × 893,080.69
  4. Step 4: Simplify right side
    415,504.69x = 797,593,114,385.47
  5. Step 5: Solve for x
    x = 797,593,114,385.47/415,504.69
  6. Step 6: Final answer
    x = 1,919,576.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.