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Finding the Third Proportional to 515,150 and 1,121,823

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Solution

The third proportional to 515,150 and 1,121,823 is: 2,442,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,150 : 1,121,823 = 1,121,823 : x
  2. Step 2: Convert to fraction form
    515,150/1,121,823 = 1,121,823/x
  3. Step 3: Cross multiply
    515,150x = 1,121,823 × 1,121,823
  4. Step 4: Simplify right side
    515,150x = 1,258,486,843,329
  5. Step 5: Solve for x
    x = 1,258,486,843,329/515,150
  6. Step 6: Final answer
    x = 2,442,952.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.