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Finding the Third Proportional to 440,056 and 964,260

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Solution

The third proportional to 440,056 and 964,260 is: 2,112,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,056 : 964,260 = 964,260 : x
  2. Step 2: Convert to fraction form
    440,056/964,260 = 964,260/x
  3. Step 3: Cross multiply
    440,056x = 964,260 × 964,260
  4. Step 4: Simplify right side
    440,056x = 929,797,347,600
  5. Step 5: Solve for x
    x = 929,797,347,600/440,056
  6. Step 6: Final answer
    x = 2,112,906.87

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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.