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Finding the Third Proportional to 2,798,112 and 6,024,318

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Solution

The third proportional to 2,798,112 and 6,024,318 is: 12,970,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798,112 : 6,024,318 = 6,024,318 : x
  2. Step 2: Convert to fraction form
    2,798,112/6,024,318 = 6,024,318/x
  3. Step 3: Cross multiply
    2,798,112x = 6,024,318 × 6,024,318
  4. Step 4: Simplify right side
    2,798,112x = 36,292,407,365,124
  5. Step 5: Solve for x
    x = 36,292,407,365,124/2,798,112
  6. Step 6: Final answer
    x = 12,970,319.76

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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.