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Finding the Third Proportional to 853,287 and 1,833,203

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Solution

The third proportional to 853,287 and 1,833,203 is: 3,938,455.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,287 : 1,833,203 = 1,833,203 : x
  2. Step 2: Convert to fraction form
    853,287/1,833,203 = 1,833,203/x
  3. Step 3: Cross multiply
    853,287x = 1,833,203 × 1,833,203
  4. Step 4: Simplify right side
    853,287x = 3,360,633,239,209
  5. Step 5: Solve for x
    x = 3,360,633,239,209/853,287
  6. Step 6: Final answer
    x = 3,938,455.92

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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.