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Finding the Third Proportional to 817,974 and 1,675,612

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Solution

The third proportional to 817,974 and 1,675,612 is: 3,432,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,974 : 1,675,612 = 1,675,612 : x
  2. Step 2: Convert to fraction form
    817,974/1,675,612 = 1,675,612/x
  3. Step 3: Cross multiply
    817,974x = 1,675,612 × 1,675,612
  4. Step 4: Simplify right side
    817,974x = 2,807,675,574,544
  5. Step 5: Solve for x
    x = 2,807,675,574,544/817,974
  6. Step 6: Final answer
    x = 3,432,475.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.