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Finding the Third Proportional to 414,124 and 887,306

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Solution

The third proportional to 414,124 and 887,306 is: 1,901,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,124 : 887,306 = 887,306 : x
  2. Step 2: Convert to fraction form
    414,124/887,306 = 887,306/x
  3. Step 3: Cross multiply
    414,124x = 887,306 × 887,306
  4. Step 4: Simplify right side
    414,124x = 787,311,937,636
  5. Step 5: Solve for x
    x = 787,311,937,636/414,124
  6. Step 6: Final answer
    x = 1,901,150.23

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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.