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Finding the Third Proportional to 550,989 and 834,801

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Solution

The third proportional to 550,989 and 834,801 is: 1,264,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,989 : 834,801 = 834,801 : x
  2. Step 2: Convert to fraction form
    550,989/834,801 = 834,801/x
  3. Step 3: Cross multiply
    550,989x = 834,801 × 834,801
  4. Step 4: Simplify right side
    550,989x = 696,892,709,601
  5. Step 5: Solve for x
    x = 696,892,709,601/550,989
  6. Step 6: Final answer
    x = 1,264,803.31

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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.