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Finding the Third Proportional to 467,098 and 967,412

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Solution

The third proportional to 467,098 and 967,412 is: 2,003,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,098 : 967,412 = 967,412 : x
  2. Step 2: Convert to fraction form
    467,098/967,412 = 967,412/x
  3. Step 3: Cross multiply
    467,098x = 967,412 × 967,412
  4. Step 4: Simplify right side
    467,098x = 935,885,977,744
  5. Step 5: Solve for x
    x = 935,885,977,744/467,098
  6. Step 6: Final answer
    x = 2,003,618.04

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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.