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Finding the Third Proportional to 468,268 and 992,264

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Solution

The third proportional to 468,268 and 992,264 is: 2,102,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,268 : 992,264 = 992,264 : x
  2. Step 2: Convert to fraction form
    468,268/992,264 = 992,264/x
  3. Step 3: Cross multiply
    468,268x = 992,264 × 992,264
  4. Step 4: Simplify right side
    468,268x = 984,587,845,696
  5. Step 5: Solve for x
    x = 984,587,845,696/468,268
  6. Step 6: Final answer
    x = 2,102,616.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.