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Finding the Third Proportional to 961,094 and 2,114,042

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Solution

The third proportional to 961,094 and 2,114,042 is: 4,650,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,094 : 2,114,042 = 2,114,042 : x
  2. Step 2: Convert to fraction form
    961,094/2,114,042 = 2,114,042/x
  3. Step 3: Cross multiply
    961,094x = 2,114,042 × 2,114,042
  4. Step 4: Simplify right side
    961,094x = 4,469,173,577,764
  5. Step 5: Solve for x
    x = 4,469,173,577,764/961,094
  6. Step 6: Final answer
    x = 4,650,089.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.