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Finding the Third Proportional to 3,086,546 and 6,784,118

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Solution

The third proportional to 3,086,546 and 6,784,118 is: 14,911,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086,546 : 6,784,118 = 6,784,118 : x
  2. Step 2: Convert to fraction form
    3,086,546/6,784,118 = 6,784,118/x
  3. Step 3: Cross multiply
    3,086,546x = 6,784,118 × 6,784,118
  4. Step 4: Simplify right side
    3,086,546x = 46,024,257,037,924
  5. Step 5: Solve for x
    x = 46,024,257,037,924/3,086,546
  6. Step 6: Final answer
    x = 14,911,249.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.