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Finding the Third Proportional to 449,583 and 981,543

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Solution

The third proportional to 449,583 and 981,543 is: 2,142,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,583 : 981,543 = 981,543 : x
  2. Step 2: Convert to fraction form
    449,583/981,543 = 981,543/x
  3. Step 3: Cross multiply
    449,583x = 981,543 × 981,543
  4. Step 4: Simplify right side
    449,583x = 963,426,660,849
  5. Step 5: Solve for x
    x = 963,426,660,849/449,583
  6. Step 6: Final answer
    x = 2,142,933.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.