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Finding the Third Proportional to 2,657,949 and 4,090,443

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Solution

The third proportional to 2,657,949 and 4,090,443 is: 6,294,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657,949 : 4,090,443 = 4,090,443 : x
  2. Step 2: Convert to fraction form
    2,657,949/4,090,443 = 4,090,443/x
  3. Step 3: Cross multiply
    2,657,949x = 4,090,443 × 4,090,443
  4. Step 4: Simplify right side
    2,657,949x = 16,731,723,936,249
  5. Step 5: Solve for x
    x = 16,731,723,936,249/2,657,949
  6. Step 6: Final answer
    x = 6,294,975.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.