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Finding the Third Proportional to 4,140,800 and 6,342,258

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Solution

The third proportional to 4,140,800 and 6,342,258 is: 9,714,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140,800 : 6,342,258 = 6,342,258 : x
  2. Step 2: Convert to fraction form
    4,140,800/6,342,258 = 6,342,258/x
  3. Step 3: Cross multiply
    4,140,800x = 6,342,258 × 6,342,258
  4. Step 4: Simplify right side
    4,140,800x = 40,224,236,538,564
  5. Step 5: Solve for x
    x = 40,224,236,538,564/4,140,800
  6. Step 6: Final answer
    x = 9,714,122.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.