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Finding the Third Proportional to 2,090,533 and 4,432,267

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Solution

The third proportional to 2,090,533 and 4,432,267 is: 9,397,120.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090,533 : 4,432,267 = 4,432,267 : x
  2. Step 2: Convert to fraction form
    2,090,533/4,432,267 = 4,432,267/x
  3. Step 3: Cross multiply
    2,090,533x = 4,432,267 × 4,432,267
  4. Step 4: Simplify right side
    2,090,533x = 19,644,990,759,289
  5. Step 5: Solve for x
    x = 19,644,990,759,289/2,090,533
  6. Step 6: Final answer
    x = 9,397,120.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.