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Finding the Third Proportional to 853,066.69 and 1,822,591.13

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Solution

The third proportional to 853,066.69 and 1,822,591.13 is: 3,893,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,066.69 : 1,822,591.13 = 1,822,591.13 : x
  2. Step 2: Convert to fraction form
    853,066.69/1,822,591.13 = 1,822,591.13/x
  3. Step 3: Cross multiply
    853,066.69x = 1,822,591.13 × 1,822,591.13
  4. Step 4: Simplify right side
    853,066.69x = 3,321,838,408,928.77
  5. Step 5: Solve for x
    x = 3,321,838,408,928.77/853,066.69
  6. Step 6: Final answer
    x = 3,893,996.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.