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Finding the Third Proportional to 825,554 and 1,686,098

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Solution

The third proportional to 825,554 and 1,686,098 is: 3,443,659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,554 : 1,686,098 = 1,686,098 : x
  2. Step 2: Convert to fraction form
    825,554/1,686,098 = 1,686,098/x
  3. Step 3: Cross multiply
    825,554x = 1,686,098 × 1,686,098
  4. Step 4: Simplify right side
    825,554x = 2,842,926,465,604
  5. Step 5: Solve for x
    x = 2,842,926,465,604/825,554
  6. Step 6: Final answer
    x = 3,443,659.00

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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.