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Finding the Third Proportional to 426,966 and 929,100

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Solution

The third proportional to 426,966 and 929,100 is: 2,021,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,966 : 929,100 = 929,100 : x
  2. Step 2: Convert to fraction form
    426,966/929,100 = 929,100/x
  3. Step 3: Cross multiply
    426,966x = 929,100 × 929,100
  4. Step 4: Simplify right side
    426,966x = 863,226,810,000
  5. Step 5: Solve for x
    x = 863,226,810,000/426,966
  6. Step 6: Final answer
    x = 2,021,769.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.