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Finding the Third Proportional to 449,581 and 981,539

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Solution

The third proportional to 449,581 and 981,539 is: 2,142,925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,581 : 981,539 = 981,539 : x
  2. Step 2: Convert to fraction form
    449,581/981,539 = 981,539/x
  3. Step 3: Cross multiply
    449,581x = 981,539 × 981,539
  4. Step 4: Simplify right side
    449,581x = 963,418,808,521
  5. Step 5: Solve for x
    x = 963,418,808,521/449,581
  6. Step 6: Final answer
    x = 2,142,925.99

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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.