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Finding the Third Proportional to 829,875 and 1,690,203

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Solution

The third proportional to 829,875 and 1,690,203 is: 3,442,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,875 : 1,690,203 = 1,690,203 : x
  2. Step 2: Convert to fraction form
    829,875/1,690,203 = 1,690,203/x
  3. Step 3: Cross multiply
    829,875x = 1,690,203 × 1,690,203
  4. Step 4: Simplify right side
    829,875x = 2,856,786,181,209
  5. Step 5: Solve for x
    x = 2,856,786,181,209/829,875
  6. Step 6: Final answer
    x = 3,442,429.50

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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.