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Finding the Third Proportional to 828,036 and 1,690,902

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Solution

The third proportional to 828,036 and 1,690,902 is: 3,452,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,036 : 1,690,902 = 1,690,902 : x
  2. Step 2: Convert to fraction form
    828,036/1,690,902 = 1,690,902/x
  3. Step 3: Cross multiply
    828,036x = 1,690,902 × 1,690,902
  4. Step 4: Simplify right side
    828,036x = 2,859,149,573,604
  5. Step 5: Solve for x
    x = 2,859,149,573,604/828,036
  6. Step 6: Final answer
    x = 3,452,929.07

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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.