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Finding the Third Proportional to 755,993 and 1,169,715

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Solution

The third proportional to 755,993 and 1,169,715 is: 1,809,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,993 : 1,169,715 = 1,169,715 : x
  2. Step 2: Convert to fraction form
    755,993/1,169,715 = 1,169,715/x
  3. Step 3: Cross multiply
    755,993x = 1,169,715 × 1,169,715
  4. Step 4: Simplify right side
    755,993x = 1,368,233,181,225
  5. Step 5: Solve for x
    x = 1,368,233,181,225/755,993
  6. Step 6: Final answer
    x = 1,809,849.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.