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Finding the Third Proportional to 1,049,311 and 1,567,467

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Solution

The third proportional to 1,049,311 and 1,567,467 is: 2,341,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,311 : 1,567,467 = 1,567,467 : x
  2. Step 2: Convert to fraction form
    1,049,311/1,567,467 = 1,567,467/x
  3. Step 3: Cross multiply
    1,049,311x = 1,567,467 × 1,567,467
  4. Step 4: Simplify right side
    1,049,311x = 2,456,952,796,089
  5. Step 5: Solve for x
    x = 2,456,952,796,089/1,049,311
  6. Step 6: Final answer
    x = 2,341,491.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.