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Finding the Third Proportional to 822,091.78 and 1,291,415.91

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Solution

The third proportional to 822,091.78 and 1,291,415.91 is: 2,028,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,091.78 : 1,291,415.91 = 1,291,415.91 : x
  2. Step 2: Convert to fraction form
    822,091.78/1,291,415.91 = 1,291,415.91/x
  3. Step 3: Cross multiply
    822,091.78x = 1,291,415.91 × 1,291,415.91
  4. Step 4: Simplify right side
    822,091.78x = 1,667,755,042,915.51
  5. Step 5: Solve for x
    x = 1,667,755,042,915.51/822,091.78
  6. Step 6: Final answer
    x = 2,028,672.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.