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Finding the Third Proportional to 853,098 and 1,866,900

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Solution

The third proportional to 853,098 and 1,866,900 is: 4,085,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,098 : 1,866,900 = 1,866,900 : x
  2. Step 2: Convert to fraction form
    853,098/1,866,900 = 1,866,900/x
  3. Step 3: Cross multiply
    853,098x = 1,866,900 × 1,866,900
  4. Step 4: Simplify right side
    853,098x = 3,485,315,610,000
  5. Step 5: Solve for x
    x = 3,485,315,610,000/853,098
  6. Step 6: Final answer
    x = 4,085,480.93

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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.