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Finding the Third Proportional to 828,038 and 1,690,906

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Solution

The third proportional to 828,038 and 1,690,906 is: 3,452,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,038 : 1,690,906 = 1,690,906 : x
  2. Step 2: Convert to fraction form
    828,038/1,690,906 = 1,690,906/x
  3. Step 3: Cross multiply
    828,038x = 1,690,906 × 1,690,906
  4. Step 4: Simplify right side
    828,038x = 2,859,163,100,836
  5. Step 5: Solve for x
    x = 2,859,163,100,836/828,038
  6. Step 6: Final answer
    x = 3,452,937.06

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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.