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Finding the Third Proportional to 4,255,680 and 6,368,442

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Solution

The third proportional to 4,255,680 and 6,368,442 is: 9,530,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255,680 : 6,368,442 = 6,368,442 : x
  2. Step 2: Convert to fraction form
    4,255,680/6,368,442 = 6,368,442/x
  3. Step 3: Cross multiply
    4,255,680x = 6,368,442 × 6,368,442
  4. Step 4: Simplify right side
    4,255,680x = 40,557,053,507,364
  5. Step 5: Solve for x
    x = 40,557,053,507,364/4,255,680
  6. Step 6: Final answer
    x = 9,530,099.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.