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Finding the Third Proportional to 426,968 and 929,104

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Solution

The third proportional to 426,968 and 929,104 is: 2,021,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,968 : 929,104 = 929,104 : x
  2. Step 2: Convert to fraction form
    426,968/929,104 = 929,104/x
  3. Step 3: Cross multiply
    426,968x = 929,104 × 929,104
  4. Step 4: Simplify right side
    426,968x = 863,234,242,816
  5. Step 5: Solve for x
    x = 863,234,242,816/426,968
  6. Step 6: Final answer
    x = 2,021,777.38

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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.