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Finding the Third Proportional to 449,424 and 964,944

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Solution

The third proportional to 449,424 and 964,944 is: 2,071,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,424 : 964,944 = 964,944 : x
  2. Step 2: Convert to fraction form
    449,424/964,944 = 964,944/x
  3. Step 3: Cross multiply
    449,424x = 964,944 × 964,944
  4. Step 4: Simplify right side
    449,424x = 931,116,923,136
  5. Step 5: Solve for x
    x = 931,116,923,136/449,424
  6. Step 6: Final answer
    x = 2,071,800.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.