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Finding the Third Proportional to 4,077,790 and 6,478,296

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Solution

The third proportional to 4,077,790 and 6,478,296 is: 10,291,927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077,790 : 6,478,296 = 6,478,296 : x
  2. Step 2: Convert to fraction form
    4,077,790/6,478,296 = 6,478,296/x
  3. Step 3: Cross multiply
    4,077,790x = 6,478,296 × 6,478,296
  4. Step 4: Simplify right side
    4,077,790x = 41,968,319,063,616
  5. Step 5: Solve for x
    x = 41,968,319,063,616/4,077,790
  6. Step 6: Final answer
    x = 10,291,927.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.