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Finding the Third Proportional to 680,682 and 1,431,024

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Solution

The third proportional to 680,682 and 1,431,024 is: 3,008,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,682 : 1,431,024 = 1,431,024 : x
  2. Step 2: Convert to fraction form
    680,682/1,431,024 = 1,431,024/x
  3. Step 3: Cross multiply
    680,682x = 1,431,024 × 1,431,024
  4. Step 4: Simplify right side
    680,682x = 2,047,829,688,576
  5. Step 5: Solve for x
    x = 2,047,829,688,576/680,682
  6. Step 6: Final answer
    x = 3,008,496.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.