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Finding the Third Proportional to 1,096,128 and 2,401,728

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Solution

The third proportional to 1,096,128 and 2,401,728 is: 5,262,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,128 : 2,401,728 = 2,401,728 : x
  2. Step 2: Convert to fraction form
    1,096,128/2,401,728 = 2,401,728/x
  3. Step 3: Cross multiply
    1,096,128x = 2,401,728 × 2,401,728
  4. Step 4: Simplify right side
    1,096,128x = 5,768,297,385,984
  5. Step 5: Solve for x
    x = 5,768,297,385,984/1,096,128
  6. Step 6: Final answer
    x = 5,262,430.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.