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Finding the Third Proportional to 449,321 and 961,822

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Solution

The third proportional to 449,321 and 961,822 is: 2,058,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,321 : 961,822 = 961,822 : x
  2. Step 2: Convert to fraction form
    449,321/961,822 = 961,822/x
  3. Step 3: Cross multiply
    449,321x = 961,822 × 961,822
  4. Step 4: Simplify right side
    449,321x = 925,101,559,684
  5. Step 5: Solve for x
    x = 925,101,559,684/449,321
  6. Step 6: Final answer
    x = 2,058,887.88

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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.