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Finding the Third Proportional to 829,005 and 1,832,268

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Solution

The third proportional to 829,005 and 1,832,268 is: 4,049,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,005 : 1,832,268 = 1,832,268 : x
  2. Step 2: Convert to fraction form
    829,005/1,832,268 = 1,832,268/x
  3. Step 3: Cross multiply
    829,005x = 1,832,268 × 1,832,268
  4. Step 4: Simplify right side
    829,005x = 3,357,206,023,824
  5. Step 5: Solve for x
    x = 3,357,206,023,824/829,005
  6. Step 6: Final answer
    x = 4,049,681.27

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.