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Finding the Third Proportional to 445,062 and 961,400

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Solution

The third proportional to 445,062 and 961,400 is: 2,076,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,062 : 961,400 = 961,400 : x
  2. Step 2: Convert to fraction form
    445,062/961,400 = 961,400/x
  3. Step 3: Cross multiply
    445,062x = 961,400 × 961,400
  4. Step 4: Simplify right side
    445,062x = 924,289,960,000
  5. Step 5: Solve for x
    x = 924,289,960,000/445,062
  6. Step 6: Final answer
    x = 2,076,766.74

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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.