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Finding the Third Proportional to 584,139.75 and 1,261,698

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Solution

The third proportional to 584,139.75 and 1,261,698 is: 2,725,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,139.75 : 1,261,698 = 1,261,698 : x
  2. Step 2: Convert to fraction form
    584,139.75/1,261,698 = 1,261,698/x
  3. Step 3: Cross multiply
    584,139.75x = 1,261,698 × 1,261,698
  4. Step 4: Simplify right side
    584,139.75x = 1,591,881,843,204
  5. Step 5: Solve for x
    x = 1,591,881,843,204/584,139.75
  6. Step 6: Final answer
    x = 2,725,172.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.