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Finding the Third Proportional to 869,361 and 1,867,272

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Solution

The third proportional to 869,361 and 1,867,272 is: 4,010,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,361 : 1,867,272 = 1,867,272 : x
  2. Step 2: Convert to fraction form
    869,361/1,867,272 = 1,867,272/x
  3. Step 3: Cross multiply
    869,361x = 1,867,272 × 1,867,272
  4. Step 4: Simplify right side
    869,361x = 3,486,704,721,984
  5. Step 5: Solve for x
    x = 3,486,704,721,984/869,361
  6. Step 6: Final answer
    x = 4,010,652.33

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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.