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Finding the Third Proportional to 2,019,165 and 4,266,264

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Solution

The third proportional to 2,019,165 and 4,266,264 is: 9,014,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,165 : 4,266,264 = 4,266,264 : x
  2. Step 2: Convert to fraction form
    2,019,165/4,266,264 = 4,266,264/x
  3. Step 3: Cross multiply
    2,019,165x = 4,266,264 × 4,266,264
  4. Step 4: Simplify right side
    2,019,165x = 18,201,008,517,696
  5. Step 5: Solve for x
    x = 18,201,008,517,696/2,019,165
  6. Step 6: Final answer
    x = 9,014,126.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.