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Finding the Third Proportional to 655,821 and 964,976

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Solution

The third proportional to 655,821 and 964,976 is: 1,419,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,821 : 964,976 = 964,976 : x
  2. Step 2: Convert to fraction form
    655,821/964,976 = 964,976/x
  3. Step 3: Cross multiply
    655,821x = 964,976 × 964,976
  4. Step 4: Simplify right side
    655,821x = 931,178,680,576
  5. Step 5: Solve for x
    x = 931,178,680,576/655,821
  6. Step 6: Final answer
    x = 1,419,867.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.