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Finding the Third Proportional to 467,184 and 967,552

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Solution

The third proportional to 467,184 and 967,552 is: 2,003,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,184 : 967,552 = 967,552 : x
  2. Step 2: Convert to fraction form
    467,184/967,552 = 967,552/x
  3. Step 3: Cross multiply
    467,184x = 967,552 × 967,552
  4. Step 4: Simplify right side
    467,184x = 936,156,872,704
  5. Step 5: Solve for x
    x = 936,156,872,704/467,184
  6. Step 6: Final answer
    x = 2,003,829.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.