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Finding the Third Proportional to 893,805.26 and 1,147,633.95

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Solution

The third proportional to 893,805.26 and 1,147,633.95 is: 1,473,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,805.26 : 1,147,633.95 = 1,147,633.95 : x
  2. Step 2: Convert to fraction form
    893,805.26/1,147,633.95 = 1,147,633.95/x
  3. Step 3: Cross multiply
    893,805.26x = 1,147,633.95 × 1,147,633.95
  4. Step 4: Simplify right side
    893,805.26x = 1,317,063,672,433.53
  5. Step 5: Solve for x
    x = 1,317,063,672,433.53/893,805.26
  6. Step 6: Final answer
    x = 1,473,546.57

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.