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Finding the Third Proportional to 457,861 and 994,513

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Solution

The third proportional to 457,861 and 994,513 is: 2,160,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,861 : 994,513 = 994,513 : x
  2. Step 2: Convert to fraction form
    457,861/994,513 = 994,513/x
  3. Step 3: Cross multiply
    457,861x = 994,513 × 994,513
  4. Step 4: Simplify right side
    457,861x = 989,056,107,169
  5. Step 5: Solve for x
    x = 989,056,107,169/457,861
  6. Step 6: Final answer
    x = 2,160,166.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.