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Finding the Third Proportional to 449,492.63 and 981,817.88

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Solution

The third proportional to 449,492.63 and 981,817.88 is: 2,144,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,492.63 : 981,817.88 = 981,817.88 : x
  2. Step 2: Convert to fraction form
    449,492.63/981,817.88 = 981,817.88/x
  3. Step 3: Cross multiply
    449,492.63x = 981,817.88 × 981,817.88
  4. Step 4: Simplify right side
    449,492.63x = 963,966,339,669.52
  5. Step 5: Solve for x
    x = 963,966,339,669.52/449,492.63
  6. Step 6: Final answer
    x = 2,144,565.42

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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.