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Finding the Third Proportional to 853,566 and 1,864,620

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Solution

The third proportional to 853,566 and 1,864,620 is: 4,073,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,566 : 1,864,620 = 1,864,620 : x
  2. Step 2: Convert to fraction form
    853,566/1,864,620 = 1,864,620/x
  3. Step 3: Cross multiply
    853,566x = 1,864,620 × 1,864,620
  4. Step 4: Simplify right side
    853,566x = 3,476,807,744,400
  5. Step 5: Solve for x
    x = 3,476,807,744,400/853,566
  6. Step 6: Final answer
    x = 4,073,273.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.