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Finding the Third Proportional to 647,082 and 1,405,944

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Solution

The third proportional to 647,082 and 1,405,944 is: 3,054,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,082 : 1,405,944 = 1,405,944 : x
  2. Step 2: Convert to fraction form
    647,082/1,405,944 = 1,405,944/x
  3. Step 3: Cross multiply
    647,082x = 1,405,944 × 1,405,944
  4. Step 4: Simplify right side
    647,082x = 1,976,678,531,136
  5. Step 5: Solve for x
    x = 1,976,678,531,136/647,082
  6. Step 6: Final answer
    x = 3,054,757.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.