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Finding the Third Proportional to 632,268 and 1,206,216

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Solution

The third proportional to 632,268 and 1,206,216 is: 2,301,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,268 : 1,206,216 = 1,206,216 : x
  2. Step 2: Convert to fraction form
    632,268/1,206,216 = 1,206,216/x
  3. Step 3: Cross multiply
    632,268x = 1,206,216 × 1,206,216
  4. Step 4: Simplify right side
    632,268x = 1,454,957,038,656
  5. Step 5: Solve for x
    x = 1,454,957,038,656/632,268
  6. Step 6: Final answer
    x = 2,301,171.40

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.