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Finding the Third Proportional to 550,993 and 834,807

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Solution

The third proportional to 550,993 and 834,807 is: 1,264,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,993 : 834,807 = 834,807 : x
  2. Step 2: Convert to fraction form
    550,993/834,807 = 834,807/x
  3. Step 3: Cross multiply
    550,993x = 834,807 × 834,807
  4. Step 4: Simplify right side
    550,993x = 696,902,727,249
  5. Step 5: Solve for x
    x = 696,902,727,249/550,993
  6. Step 6: Final answer
    x = 1,264,812.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.