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Finding the Third Proportional to 574,974 and 886,449

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Solution

The third proportional to 574,974 and 886,449 is: 1,366,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,974 : 886,449 = 886,449 : x
  2. Step 2: Convert to fraction form
    574,974/886,449 = 886,449/x
  3. Step 3: Cross multiply
    574,974x = 886,449 × 886,449
  4. Step 4: Simplify right side
    574,974x = 785,791,829,601
  5. Step 5: Solve for x
    x = 785,791,829,601/574,974
  6. Step 6: Final answer
    x = 1,366,656.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.