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Finding the Third Proportional to 449,319 and 961,818

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Solution

The third proportional to 449,319 and 961,818 is: 2,058,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,319 : 961,818 = 961,818 : x
  2. Step 2: Convert to fraction form
    449,319/961,818 = 961,818/x
  3. Step 3: Cross multiply
    449,319x = 961,818 × 961,818
  4. Step 4: Simplify right side
    449,319x = 925,093,865,124
  5. Step 5: Solve for x
    x = 925,093,865,124/449,319
  6. Step 6: Final answer
    x = 2,058,879.92

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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.