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Finding the Third Proportional to 853,289 and 1,833,207

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Solution

The third proportional to 853,289 and 1,833,207 is: 3,938,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,289 : 1,833,207 = 1,833,207 : x
  2. Step 2: Convert to fraction form
    853,289/1,833,207 = 1,833,207/x
  3. Step 3: Cross multiply
    853,289x = 1,833,207 × 1,833,207
  4. Step 4: Simplify right side
    853,289x = 3,360,647,904,849
  5. Step 5: Solve for x
    x = 3,360,647,904,849/853,289
  6. Step 6: Final answer
    x = 3,938,463.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.