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Finding the Third Proportional to 1,934,784 and 4,184,760

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Solution

The third proportional to 1,934,784 and 4,184,760 is: 9,051,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934,784 : 4,184,760 = 4,184,760 : x
  2. Step 2: Convert to fraction form
    1,934,784/4,184,760 = 4,184,760/x
  3. Step 3: Cross multiply
    1,934,784x = 4,184,760 × 4,184,760
  4. Step 4: Simplify right side
    1,934,784x = 17,512,216,257,600
  5. Step 5: Solve for x
    x = 17,512,216,257,600/1,934,784
  6. Step 6: Final answer
    x = 9,051,251.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.