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Finding the Third Proportional to 449,324 and 961,826

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Solution

The third proportional to 449,324 and 961,826 is: 2,058,891.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,324 : 961,826 = 961,826 : x
  2. Step 2: Convert to fraction form
    449,324/961,826 = 961,826/x
  3. Step 3: Cross multiply
    449,324x = 961,826 × 961,826
  4. Step 4: Simplify right side
    449,324x = 925,109,254,276
  5. Step 5: Solve for x
    x = 925,109,254,276/449,324
  6. Step 6: Final answer
    x = 2,058,891.26

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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.