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Finding the Third Proportional to 785,999 and 1,186,469

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Solution

The third proportional to 785,999 and 1,186,469 is: 1,790,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,999 : 1,186,469 = 1,186,469 : x
  2. Step 2: Convert to fraction form
    785,999/1,186,469 = 1,186,469/x
  3. Step 3: Cross multiply
    785,999x = 1,186,469 × 1,186,469
  4. Step 4: Simplify right side
    785,999x = 1,407,708,687,961
  5. Step 5: Solve for x
    x = 1,407,708,687,961/785,999
  6. Step 6: Final answer
    x = 1,790,980.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.