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Finding the Third Proportional to 829,889 and 1,690,232

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Solution

The third proportional to 829,889 and 1,690,232 is: 3,442,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,889 : 1,690,232 = 1,690,232 : x
  2. Step 2: Convert to fraction form
    829,889/1,690,232 = 1,690,232/x
  3. Step 3: Cross multiply
    829,889x = 1,690,232 × 1,690,232
  4. Step 4: Simplify right side
    829,889x = 2,856,884,213,824
  5. Step 5: Solve for x
    x = 2,856,884,213,824/829,889
  6. Step 6: Final answer
    x = 3,442,489.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.