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Finding the Third Proportional to 552,891 and 834,409

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Solution

The third proportional to 552,891 and 834,409 is: 1,259,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,891 : 834,409 = 834,409 : x
  2. Step 2: Convert to fraction form
    552,891/834,409 = 834,409/x
  3. Step 3: Cross multiply
    552,891x = 834,409 × 834,409
  4. Step 4: Simplify right side
    552,891x = 696,238,379,281
  5. Step 5: Solve for x
    x = 696,238,379,281/552,891
  6. Step 6: Final answer
    x = 1,259,268.79

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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.