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Finding the Third Proportional to 961,097 and 2,114,045

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Solution

The third proportional to 961,097 and 2,114,045 is: 4,650,088.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,097 : 2,114,045 = 2,114,045 : x
  2. Step 2: Convert to fraction form
    961,097/2,114,045 = 2,114,045/x
  3. Step 3: Cross multiply
    961,097x = 2,114,045 × 2,114,045
  4. Step 4: Simplify right side
    961,097x = 4,469,186,262,025
  5. Step 5: Solve for x
    x = 4,469,186,262,025/961,097
  6. Step 6: Final answer
    x = 4,650,088.66

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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.