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Finding the Third Proportional to 1,184,976 and 2,549,781

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Solution

The third proportional to 1,184,976 and 2,549,781 is: 5,486,510.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,976 : 2,549,781 = 2,549,781 : x
  2. Step 2: Convert to fraction form
    1,184,976/2,549,781 = 2,549,781/x
  3. Step 3: Cross multiply
    1,184,976x = 2,549,781 × 2,549,781
  4. Step 4: Simplify right side
    1,184,976x = 6,501,383,147,961
  5. Step 5: Solve for x
    x = 6,501,383,147,961/1,184,976
  6. Step 6: Final answer
    x = 5,486,510.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.