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Finding the Third Proportional to 558,194 and 1,175,684

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Solution

The third proportional to 558,194 and 1,175,684 is: 2,476,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,194 : 1,175,684 = 1,175,684 : x
  2. Step 2: Convert to fraction form
    558,194/1,175,684 = 1,175,684/x
  3. Step 3: Cross multiply
    558,194x = 1,175,684 × 1,175,684
  4. Step 4: Simplify right side
    558,194x = 1,382,232,867,856
  5. Step 5: Solve for x
    x = 1,382,232,867,856/558,194
  6. Step 6: Final answer
    x = 2,476,258.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.