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Finding the Third Proportional to 2,019,169 and 4,266,272

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Solution

The third proportional to 2,019,169 and 4,266,272 is: 9,014,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,169 : 4,266,272 = 4,266,272 : x
  2. Step 2: Convert to fraction form
    2,019,169/4,266,272 = 4,266,272/x
  3. Step 3: Cross multiply
    2,019,169x = 4,266,272 × 4,266,272
  4. Step 4: Simplify right side
    2,019,169x = 18,201,076,777,984
  5. Step 5: Solve for x
    x = 18,201,076,777,984/2,019,169
  6. Step 6: Final answer
    x = 9,014,142.34

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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.