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Finding the Third Proportional to 828,044 and 1,686,534

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Solution

The third proportional to 828,044 and 1,686,534 is: 3,435,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,044 : 1,686,534 = 1,686,534 : x
  2. Step 2: Convert to fraction form
    828,044/1,686,534 = 1,686,534/x
  3. Step 3: Cross multiply
    828,044x = 1,686,534 × 1,686,534
  4. Step 4: Simplify right side
    828,044x = 2,844,396,933,156
  5. Step 5: Solve for x
    x = 2,844,396,933,156/828,044
  6. Step 6: Final answer
    x = 3,435,079.46

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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.