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Finding the Third Proportional to 1,051,515 and 2,234,286

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Solution

The third proportional to 1,051,515 and 2,234,286 is: 4,747,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,515 : 2,234,286 = 2,234,286 : x
  2. Step 2: Convert to fraction form
    1,051,515/2,234,286 = 2,234,286/x
  3. Step 3: Cross multiply
    1,051,515x = 2,234,286 × 2,234,286
  4. Step 4: Simplify right side
    1,051,515x = 4,992,033,929,796
  5. Step 5: Solve for x
    x = 4,992,033,929,796/1,051,515
  6. Step 6: Final answer
    x = 4,747,468.11

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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.