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Finding the Third Proportional to 3,086,543 and 6,784,114

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Solution

The third proportional to 3,086,543 and 6,784,114 is: 14,911,246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086,543 : 6,784,114 = 6,784,114 : x
  2. Step 2: Convert to fraction form
    3,086,543/6,784,114 = 6,784,114/x
  3. Step 3: Cross multiply
    3,086,543x = 6,784,114 × 6,784,114
  4. Step 4: Simplify right side
    3,086,543x = 46,024,202,764,996
  5. Step 5: Solve for x
    x = 46,024,202,764,996/3,086,543
  6. Step 6: Final answer
    x = 14,911,246.26

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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.