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Finding the Third Proportional to 1,433,384 and 2,072,012

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Solution

The third proportional to 1,433,384 and 2,072,012 is: 2,995,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433,384 : 2,072,012 = 2,072,012 : x
  2. Step 2: Convert to fraction form
    1,433,384/2,072,012 = 2,072,012/x
  3. Step 3: Cross multiply
    1,433,384x = 2,072,012 × 2,072,012
  4. Step 4: Simplify right side
    1,433,384x = 4,293,233,728,144
  5. Step 5: Solve for x
    x = 4,293,233,728,144/1,433,384
  6. Step 6: Final answer
    x = 2,995,173.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.