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Finding the Third Proportional to 1,021,442 and 2,072,068

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Solution

The third proportional to 1,021,442 and 2,072,068 is: 4,203,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,442 : 2,072,068 = 2,072,068 : x
  2. Step 2: Convert to fraction form
    1,021,442/2,072,068 = 2,072,068/x
  3. Step 3: Cross multiply
    1,021,442x = 2,072,068 × 2,072,068
  4. Step 4: Simplify right side
    1,021,442x = 4,293,465,796,624
  5. Step 5: Solve for x
    x = 4,293,465,796,624/1,021,442
  6. Step 6: Final answer
    x = 4,203,337.83

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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.