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Finding the Third Proportional to 2,656,968 and 4,229,817

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Solution

The third proportional to 2,656,968 and 4,229,817 is: 6,733,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656,968 : 4,229,817 = 4,229,817 : x
  2. Step 2: Convert to fraction form
    2,656,968/4,229,817 = 4,229,817/x
  3. Step 3: Cross multiply
    2,656,968x = 4,229,817 × 4,229,817
  4. Step 4: Simplify right side
    2,656,968x = 17,891,351,853,489
  5. Step 5: Solve for x
    x = 17,891,351,853,489/2,656,968
  6. Step 6: Final answer
    x = 6,733,747.59

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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.