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Finding the Third Proportional to 454,649 and 957,223

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Solution

The third proportional to 454,649 and 957,223 is: 2,015,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,649 : 957,223 = 957,223 : x
  2. Step 2: Convert to fraction form
    454,649/957,223 = 957,223/x
  3. Step 3: Cross multiply
    454,649x = 957,223 × 957,223
  4. Step 4: Simplify right side
    454,649x = 916,275,871,729
  5. Step 5: Solve for x
    x = 916,275,871,729/454,649
  6. Step 6: Final answer
    x = 2,015,347.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.