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Finding the Third Proportional to 4,407,921 and 6,678,414

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Solution

The third proportional to 4,407,921 and 6,678,414 is: 10,118,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407,921 : 6,678,414 = 6,678,414 : x
  2. Step 2: Convert to fraction form
    4,407,921/6,678,414 = 6,678,414/x
  3. Step 3: Cross multiply
    4,407,921x = 6,678,414 × 6,678,414
  4. Step 4: Simplify right side
    4,407,921x = 44,601,213,555,396
  5. Step 5: Solve for x
    x = 44,601,213,555,396/4,407,921
  6. Step 6: Final answer
    x = 10,118,423.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.