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Finding the Third Proportional to 585,091.13 and 1,277,856

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Solution

The third proportional to 585,091.13 and 1,277,856 is: 2,790,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,091.13 : 1,277,856 = 1,277,856 : x
  2. Step 2: Convert to fraction form
    585,091.13/1,277,856 = 1,277,856/x
  3. Step 3: Cross multiply
    585,091.13x = 1,277,856 × 1,277,856
  4. Step 4: Simplify right side
    585,091.13x = 1,632,915,956,736
  5. Step 5: Solve for x
    x = 1,632,915,956,736/585,091.13
  6. Step 6: Final answer
    x = 2,790,874.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.