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Finding the Third Proportional to 1,968,165 and 2,942,001

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Solution

The third proportional to 1,968,165 and 2,942,001 is: 4,397,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,165 : 2,942,001 = 2,942,001 : x
  2. Step 2: Convert to fraction form
    1,968,165/2,942,001 = 2,942,001/x
  3. Step 3: Cross multiply
    1,968,165x = 2,942,001 × 2,942,001
  4. Step 4: Simplify right side
    1,968,165x = 8,655,369,884,001
  5. Step 5: Solve for x
    x = 8,655,369,884,001/1,968,165
  6. Step 6: Final answer
    x = 4,397,685.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.