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Finding the Third Proportional to 1,618,839 and 3,497,013

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Solution

The third proportional to 1,618,839 and 3,497,013 is: 7,554,240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618,839 : 3,497,013 = 3,497,013 : x
  2. Step 2: Convert to fraction form
    1,618,839/3,497,013 = 3,497,013/x
  3. Step 3: Cross multiply
    1,618,839x = 3,497,013 × 3,497,013
  4. Step 4: Simplify right side
    1,618,839x = 12,229,099,922,169
  5. Step 5: Solve for x
    x = 12,229,099,922,169/1,618,839
  6. Step 6: Final answer
    x = 7,554,240.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.