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Finding the Third Proportional to 1,021,444 and 2,072,072

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Solution

The third proportional to 1,021,444 and 2,072,072 is: 4,203,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,444 : 2,072,072 = 2,072,072 : x
  2. Step 2: Convert to fraction form
    1,021,444/2,072,072 = 2,072,072/x
  3. Step 3: Cross multiply
    1,021,444x = 2,072,072 × 2,072,072
  4. Step 4: Simplify right side
    1,021,444x = 4,293,482,373,184
  5. Step 5: Solve for x
    x = 4,293,482,373,184/1,021,444
  6. Step 6: Final answer
    x = 4,203,345.83

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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.