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Finding the Third Proportional to 2,998,464 and 6,580,296

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Solution

The third proportional to 2,998,464 and 6,580,296 is: 14,440,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998,464 : 6,580,296 = 6,580,296 : x
  2. Step 2: Convert to fraction form
    2,998,464/6,580,296 = 6,580,296/x
  3. Step 3: Cross multiply
    2,998,464x = 6,580,296 × 6,580,296
  4. Step 4: Simplify right side
    2,998,464x = 43,300,295,447,616
  5. Step 5: Solve for x
    x = 43,300,295,447,616/2,998,464
  6. Step 6: Final answer
    x = 14,440,825.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.