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Finding the Third Proportional to 584,151 and 1,261,716

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Solution

The third proportional to 584,151 and 1,261,716 is: 2,725,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,151 : 1,261,716 = 1,261,716 : x
  2. Step 2: Convert to fraction form
    584,151/1,261,716 = 1,261,716/x
  3. Step 3: Cross multiply
    584,151x = 1,261,716 × 1,261,716
  4. Step 4: Simplify right side
    584,151x = 1,591,927,264,656
  5. Step 5: Solve for x
    x = 1,591,927,264,656/584,151
  6. Step 6: Final answer
    x = 2,725,198.22

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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.