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Finding the Third Proportional to 426,975 and 919,929

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Solution

The third proportional to 426,975 and 919,929 is: 1,982,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,975 : 919,929 = 919,929 : x
  2. Step 2: Convert to fraction form
    426,975/919,929 = 919,929/x
  3. Step 3: Cross multiply
    426,975x = 919,929 × 919,929
  4. Step 4: Simplify right side
    426,975x = 846,269,365,041
  5. Step 5: Solve for x
    x = 846,269,365,041/426,975
  6. Step 6: Final answer
    x = 1,982,011.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.