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Finding the Third Proportional to 467,752 and 993,808

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Solution

The third proportional to 467,752 and 993,808 is: 2,111,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,752 : 993,808 = 993,808 : x
  2. Step 2: Convert to fraction form
    467,752/993,808 = 993,808/x
  3. Step 3: Cross multiply
    467,752x = 993,808 × 993,808
  4. Step 4: Simplify right side
    467,752x = 987,654,340,864
  5. Step 5: Solve for x
    x = 987,654,340,864/467,752
  6. Step 6: Final answer
    x = 2,111,491.43

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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.