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Finding the Third Proportional to 2,846,245 and 6,197,642

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Solution

The third proportional to 2,846,245 and 6,197,642 is: 13,495,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846,245 : 6,197,642 = 6,197,642 : x
  2. Step 2: Convert to fraction form
    2,846,245/6,197,642 = 6,197,642/x
  3. Step 3: Cross multiply
    2,846,245x = 6,197,642 × 6,197,642
  4. Step 4: Simplify right side
    2,846,245x = 38,410,766,360,164
  5. Step 5: Solve for x
    x = 38,410,766,360,164/2,846,245
  6. Step 6: Final answer
    x = 13,495,242.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.