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Finding the Third Proportional to 4,194,936 and 6,349,119

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Solution

The third proportional to 4,194,936 and 6,349,119 is: 9,609,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194,936 : 6,349,119 = 6,349,119 : x
  2. Step 2: Convert to fraction form
    4,194,936/6,349,119 = 6,349,119/x
  3. Step 3: Cross multiply
    4,194,936x = 6,349,119 × 6,349,119
  4. Step 4: Simplify right side
    4,194,936x = 40,311,312,076,161
  5. Step 5: Solve for x
    x = 40,311,312,076,161/4,194,936
  6. Step 6: Final answer
    x = 9,609,517.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.