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Finding the Third Proportional to 445,066 and 961,408

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Solution

The third proportional to 445,066 and 961,408 is: 2,076,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,066 : 961,408 = 961,408 : x
  2. Step 2: Convert to fraction form
    445,066/961,408 = 961,408/x
  3. Step 3: Cross multiply
    445,066x = 961,408 × 961,408
  4. Step 4: Simplify right side
    445,066x = 924,305,342,464
  5. Step 5: Solve for x
    x = 924,305,342,464/445,066
  6. Step 6: Final answer
    x = 2,076,782.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.