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Finding the Third Proportional to 765,954 and 1,212,291

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Solution

The third proportional to 765,954 and 1,212,291 is: 1,918,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,954 : 1,212,291 = 1,212,291 : x
  2. Step 2: Convert to fraction form
    765,954/1,212,291 = 1,212,291/x
  3. Step 3: Cross multiply
    765,954x = 1,212,291 × 1,212,291
  4. Step 4: Simplify right side
    765,954x = 1,469,649,468,681
  5. Step 5: Solve for x
    x = 1,469,649,468,681/765,954
  6. Step 6: Final answer
    x = 1,918,717.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.