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Finding the Third Proportional to 4,140,798 and 6,342,255

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Solution

The third proportional to 4,140,798 and 6,342,255 is: 9,714,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140,798 : 6,342,255 = 6,342,255 : x
  2. Step 2: Convert to fraction form
    4,140,798/6,342,255 = 6,342,255/x
  3. Step 3: Cross multiply
    4,140,798x = 6,342,255 × 6,342,255
  4. Step 4: Simplify right side
    4,140,798x = 40,224,198,485,025
  5. Step 5: Solve for x
    x = 40,224,198,485,025/4,140,798
  6. Step 6: Final answer
    x = 9,714,117.54

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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.