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Finding the Third Proportional to 905,424 and 1,918,782

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Solution

The third proportional to 905,424 and 1,918,782 is: 4,066,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,424 : 1,918,782 = 1,918,782 : x
  2. Step 2: Convert to fraction form
    905,424/1,918,782 = 1,918,782/x
  3. Step 3: Cross multiply
    905,424x = 1,918,782 × 1,918,782
  4. Step 4: Simplify right side
    905,424x = 3,681,724,363,524
  5. Step 5: Solve for x
    x = 3,681,724,363,524/905,424
  6. Step 6: Final answer
    x = 4,066,298.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.