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Finding the Third Proportional to 449,566 and 963,257

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Solution

The third proportional to 449,566 and 963,257 is: 2,063,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,566 : 963,257 = 963,257 : x
  2. Step 2: Convert to fraction form
    449,566/963,257 = 963,257/x
  3. Step 3: Cross multiply
    449,566x = 963,257 × 963,257
  4. Step 4: Simplify right side
    449,566x = 927,864,048,049
  5. Step 5: Solve for x
    x = 927,864,048,049/449,566
  6. Step 6: Final answer
    x = 2,063,910.63

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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.