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Finding the Third Proportional to 828,042 and 1,690,914

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Solution

The third proportional to 828,042 and 1,690,914 is: 3,452,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,042 : 1,690,914 = 1,690,914 : x
  2. Step 2: Convert to fraction form
    828,042/1,690,914 = 1,690,914/x
  3. Step 3: Cross multiply
    828,042x = 1,690,914 × 1,690,914
  4. Step 4: Simplify right side
    828,042x = 2,859,190,155,396
  5. Step 5: Solve for x
    x = 2,859,190,155,396/828,042
  6. Step 6: Final answer
    x = 3,452,953.06

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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.