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Finding the Third Proportional to 961,088 and 2,114,024

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Solution

The third proportional to 961,088 and 2,114,024 is: 4,650,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,088 : 2,114,024 = 2,114,024 : x
  2. Step 2: Convert to fraction form
    961,088/2,114,024 = 2,114,024/x
  3. Step 3: Cross multiply
    961,088x = 2,114,024 × 2,114,024
  4. Step 4: Simplify right side
    961,088x = 4,469,097,472,576
  5. Step 5: Solve for x
    x = 4,469,097,472,576/961,088
  6. Step 6: Final answer
    x = 4,650,039.82

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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.