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Finding the Third Proportional to 829,824 and 1,690,080

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Solution

The third proportional to 829,824 and 1,690,080 is: 3,442,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,824 : 1,690,080 = 1,690,080 : x
  2. Step 2: Convert to fraction form
    829,824/1,690,080 = 1,690,080/x
  3. Step 3: Cross multiply
    829,824x = 1,690,080 × 1,690,080
  4. Step 4: Simplify right side
    829,824x = 2,856,370,406,400
  5. Step 5: Solve for x
    x = 2,856,370,406,400/829,824
  6. Step 6: Final answer
    x = 3,442,140.03

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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.