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Finding the Third Proportional to 853,237.55 and 1,827,913.39

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Solution

The third proportional to 853,237.55 and 1,827,913.39 is: 3,915,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,237.55 : 1,827,913.39 = 1,827,913.39 : x
  2. Step 2: Convert to fraction form
    853,237.55/1,827,913.39 = 1,827,913.39/x
  3. Step 3: Cross multiply
    853,237.55x = 1,827,913.39 × 1,827,913.39
  4. Step 4: Simplify right side
    853,237.55x = 3,341,267,377,906.57
  5. Step 5: Solve for x
    x = 3,341,267,377,906.57/853,237.55
  6. Step 6: Final answer
    x = 3,915,987.28

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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.