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Finding the Third Proportional to 1,741,574 and 2,690,031

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Solution

The third proportional to 1,741,574 and 2,690,031 is: 4,155,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,574 : 2,690,031 = 2,690,031 : x
  2. Step 2: Convert to fraction form
    1,741,574/2,690,031 = 2,690,031/x
  3. Step 3: Cross multiply
    1,741,574x = 2,690,031 × 2,690,031
  4. Step 4: Simplify right side
    1,741,574x = 7,236,266,780,961
  5. Step 5: Solve for x
    x = 7,236,266,780,961/1,741,574
  6. Step 6: Final answer
    x = 4,155,015.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.