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Finding the Third Proportional to 765,936 and 1,169,640

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Solution

The third proportional to 765,936 and 1,169,640 is: 1,786,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,936 : 1,169,640 = 1,169,640 : x
  2. Step 2: Convert to fraction form
    765,936/1,169,640 = 1,169,640/x
  3. Step 3: Cross multiply
    765,936x = 1,169,640 × 1,169,640
  4. Step 4: Simplify right side
    765,936x = 1,368,057,729,600
  5. Step 5: Solve for x
    x = 1,368,057,729,600/765,936
  6. Step 6: Final answer
    x = 1,786,125.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.