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Finding the Third Proportional to 1,134,728 and 2,419,648

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Solution

The third proportional to 1,134,728 and 2,419,648 is: 5,159,559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134,728 : 2,419,648 = 2,419,648 : x
  2. Step 2: Convert to fraction form
    1,134,728/2,419,648 = 2,419,648/x
  3. Step 3: Cross multiply
    1,134,728x = 2,419,648 × 2,419,648
  4. Step 4: Simplify right side
    1,134,728x = 5,854,696,443,904
  5. Step 5: Solve for x
    x = 5,854,696,443,904/1,134,728
  6. Step 6: Final answer
    x = 5,159,559.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.