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Finding the Third Proportional to 449,659.69 and 963,419.91

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Solution

The third proportional to 449,659.69 and 963,419.91 is: 2,064,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,659.69 : 963,419.91 = 963,419.91 : x
  2. Step 2: Convert to fraction form
    449,659.69/963,419.91 = 963,419.91/x
  3. Step 3: Cross multiply
    449,659.69x = 963,419.91 × 963,419.91
  4. Step 4: Simplify right side
    449,659.69x = 928,177,915,758.76
  5. Step 5: Solve for x
    x = 928,177,915,758.76/449,659.69
  6. Step 6: Final answer
    x = 2,064,178.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.