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Finding the Third Proportional to 449,310 and 961,800

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Solution

The third proportional to 449,310 and 961,800 is: 2,058,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,310 : 961,800 = 961,800 : x
  2. Step 2: Convert to fraction form
    449,310/961,800 = 961,800/x
  3. Step 3: Cross multiply
    449,310x = 961,800 × 961,800
  4. Step 4: Simplify right side
    449,310x = 925,059,240,000
  5. Step 5: Solve for x
    x = 925,059,240,000/449,310
  6. Step 6: Final answer
    x = 2,058,844.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.