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Finding the Third Proportional to 476,942 and 1,010,728

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Solution

The third proportional to 476,942 and 1,010,728 is: 2,141,918.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,942 : 1,010,728 = 1,010,728 : x
  2. Step 2: Convert to fraction form
    476,942/1,010,728 = 1,010,728/x
  3. Step 3: Cross multiply
    476,942x = 1,010,728 × 1,010,728
  4. Step 4: Simplify right side
    476,942x = 1,021,571,089,984
  5. Step 5: Solve for x
    x = 1,021,571,089,984/476,942
  6. Step 6: Final answer
    x = 2,141,918.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.