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Finding the Third Proportional to 1,021,464 and 2,072,112

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Solution

The third proportional to 1,021,464 and 2,072,112 is: 4,203,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,464 : 2,072,112 = 2,072,112 : x
  2. Step 2: Convert to fraction form
    1,021,464/2,072,112 = 2,072,112/x
  3. Step 3: Cross multiply
    1,021,464x = 2,072,112 × 2,072,112
  4. Step 4: Simplify right side
    1,021,464x = 4,293,648,140,544
  5. Step 5: Solve for x
    x = 4,293,648,140,544/1,021,464
  6. Step 6: Final answer
    x = 4,203,425.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.