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Finding the Third Proportional to 414,268 and 887,536

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Solution

The third proportional to 414,268 and 887,536 is: 1,901,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,268 : 887,536 = 887,536 : x
  2. Step 2: Convert to fraction form
    414,268/887,536 = 887,536/x
  3. Step 3: Cross multiply
    414,268x = 887,536 × 887,536
  4. Step 4: Simplify right side
    414,268x = 787,720,151,296
  5. Step 5: Solve for x
    x = 787,720,151,296/414,268
  6. Step 6: Final answer
    x = 1,901,474.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.