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Finding the Third Proportional to 575,974 and 810,744

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Solution

The third proportional to 575,974 and 810,744 is: 1,141,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,974 : 810,744 = 810,744 : x
  2. Step 2: Convert to fraction form
    575,974/810,744 = 810,744/x
  3. Step 3: Cross multiply
    575,974x = 810,744 × 810,744
  4. Step 4: Simplify right side
    575,974x = 657,305,833,536
  5. Step 5: Solve for x
    x = 657,305,833,536/575,974
  6. Step 6: Final answer
    x = 1,141,207.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.