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Finding the Third Proportional to 2,851,728 and 6,341,061

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Solution

The third proportional to 2,851,728 and 6,341,061 is: 14,099,891.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851,728 : 6,341,061 = 6,341,061 : x
  2. Step 2: Convert to fraction form
    2,851,728/6,341,061 = 6,341,061/x
  3. Step 3: Cross multiply
    2,851,728x = 6,341,061 × 6,341,061
  4. Step 4: Simplify right side
    2,851,728x = 40,209,054,605,721
  5. Step 5: Solve for x
    x = 40,209,054,605,721/2,851,728
  6. Step 6: Final answer
    x = 14,099,891.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.