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Finding the Third Proportional to 1,997,296 and 4,274,528

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Solution

The third proportional to 1,997,296 and 4,274,528 is: 9,148,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,296 : 4,274,528 = 4,274,528 : x
  2. Step 2: Convert to fraction form
    1,997,296/4,274,528 = 4,274,528/x
  3. Step 3: Cross multiply
    1,997,296x = 4,274,528 × 4,274,528
  4. Step 4: Simplify right side
    1,997,296x = 18,271,589,622,784
  5. Step 5: Solve for x
    x = 18,271,589,622,784/1,997,296
  6. Step 6: Final answer
    x = 9,148,163.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.