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Finding the Third Proportional to 853,080 and 1,866,864

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Solution

The third proportional to 853,080 and 1,866,864 is: 4,085,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,080 : 1,866,864 = 1,866,864 : x
  2. Step 2: Convert to fraction form
    853,080/1,866,864 = 1,866,864/x
  3. Step 3: Cross multiply
    853,080x = 1,866,864 × 1,866,864
  4. Step 4: Simplify right side
    853,080x = 3,485,181,194,496
  5. Step 5: Solve for x
    x = 3,485,181,194,496/853,080
  6. Step 6: Final answer
    x = 4,085,409.57

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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.