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Finding the Third Proportional to 449,563 and 963,251

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Solution

The third proportional to 449,563 and 963,251 is: 2,063,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,563 : 963,251 = 963,251 : x
  2. Step 2: Convert to fraction form
    449,563/963,251 = 963,251/x
  3. Step 3: Cross multiply
    449,563x = 963,251 × 963,251
  4. Step 4: Simplify right side
    449,563x = 927,852,489,001
  5. Step 5: Solve for x
    x = 927,852,489,001/449,563
  6. Step 6: Final answer
    x = 2,063,898.69

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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.