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Finding the Third Proportional to 454,122 and 963,600

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Solution

The third proportional to 454,122 and 963,600 is: 2,044,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,122 : 963,600 = 963,600 : x
  2. Step 2: Convert to fraction form
    454,122/963,600 = 963,600/x
  3. Step 3: Cross multiply
    454,122x = 963,600 × 963,600
  4. Step 4: Simplify right side
    454,122x = 928,524,960,000
  5. Step 5: Solve for x
    x = 928,524,960,000/454,122
  6. Step 6: Final answer
    x = 2,044,659.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.