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Finding the Third Proportional to 1,243,463 and 2,682,946

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Solution

The third proportional to 1,243,463 and 2,682,946 is: 5,788,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,463 : 2,682,946 = 2,682,946 : x
  2. Step 2: Convert to fraction form
    1,243,463/2,682,946 = 2,682,946/x
  3. Step 3: Cross multiply
    1,243,463x = 2,682,946 × 2,682,946
  4. Step 4: Simplify right side
    1,243,463x = 7,198,199,238,916
  5. Step 5: Solve for x
    x = 7,198,199,238,916/1,243,463
  6. Step 6: Final answer
    x = 5,788,832.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.