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Finding the Third Proportional to 853,100 and 1,866,904

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Solution

The third proportional to 853,100 and 1,866,904 is: 4,085,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,100 : 1,866,904 = 1,866,904 : x
  2. Step 2: Convert to fraction form
    853,100/1,866,904 = 1,866,904/x
  3. Step 3: Cross multiply
    853,100x = 1,866,904 × 1,866,904
  4. Step 4: Simplify right side
    853,100x = 3,485,330,545,216
  5. Step 5: Solve for x
    x = 3,485,330,545,216/853,100
  6. Step 6: Final answer
    x = 4,085,488.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.