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Finding the Third Proportional to 2,151,539 and 4,635,031

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Solution

The third proportional to 2,151,539 and 4,635,031 is: 9,985,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151,539 : 4,635,031 = 4,635,031 : x
  2. Step 2: Convert to fraction form
    2,151,539/4,635,031 = 4,635,031/x
  3. Step 3: Cross multiply
    2,151,539x = 4,635,031 × 4,635,031
  4. Step 4: Simplify right side
    2,151,539x = 21,483,512,370,961
  5. Step 5: Solve for x
    x = 21,483,512,370,961/2,151,539
  6. Step 6: Final answer
    x = 9,985,183.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.