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Finding the Third Proportional to 853,164 and 1,867,032

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Solution

The third proportional to 853,164 and 1,867,032 is: 4,085,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,164 : 1,867,032 = 1,867,032 : x
  2. Step 2: Convert to fraction form
    853,164/1,867,032 = 1,867,032/x
  3. Step 3: Cross multiply
    853,164x = 1,867,032 × 1,867,032
  4. Step 4: Simplify right side
    853,164x = 3,485,808,489,024
  5. Step 5: Solve for x
    x = 3,485,808,489,024/853,164
  6. Step 6: Final answer
    x = 4,085,742.59

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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.