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Finding the Third Proportional to 445,064 and 961,404

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Solution

The third proportional to 445,064 and 961,404 is: 2,076,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,064 : 961,404 = 961,404 : x
  2. Step 2: Convert to fraction form
    445,064/961,404 = 961,404/x
  3. Step 3: Cross multiply
    445,064x = 961,404 × 961,404
  4. Step 4: Simplify right side
    445,064x = 924,297,651,216
  5. Step 5: Solve for x
    x = 924,297,651,216/445,064
  6. Step 6: Final answer
    x = 2,076,774.69

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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.