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Finding the Third Proportional to 440,682.75 and 964,396.13

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Solution

The third proportional to 440,682.75 and 964,396.13 is: 2,110,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,682.75 : 964,396.13 = 964,396.13 : x
  2. Step 2: Convert to fraction form
    440,682.75/964,396.13 = 964,396.13/x
  3. Step 3: Cross multiply
    440,682.75x = 964,396.13 × 964,396.13
  4. Step 4: Simplify right side
    440,682.75x = 930,059,885,915.02
  5. Step 5: Solve for x
    x = 930,059,885,915.02/440,682.75
  6. Step 6: Final answer
    x = 2,110,497.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.