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Finding the Third Proportional to 415,497.94 and 893,059.59

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Solution

The third proportional to 415,497.94 and 893,059.59 is: 1,919,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,497.94 : 893,059.59 = 893,059.59 : x
  2. Step 2: Convert to fraction form
    415,497.94/893,059.59 = 893,059.59/x
  3. Step 3: Cross multiply
    415,497.94x = 893,059.59 × 893,059.59
  4. Step 4: Simplify right side
    415,497.94x = 797,555,437,988.92
  5. Step 5: Solve for x
    x = 797,555,437,988.92/415,497.94
  6. Step 6: Final answer
    x = 1,919,517.20

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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.