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Finding the Third Proportional to 656,792 and 1,414,912

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Solution

The third proportional to 656,792 and 1,414,912 is: 3,048,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,792 : 1,414,912 = 1,414,912 : x
  2. Step 2: Convert to fraction form
    656,792/1,414,912 = 1,414,912/x
  3. Step 3: Cross multiply
    656,792x = 1,414,912 × 1,414,912
  4. Step 4: Simplify right side
    656,792x = 2,001,975,967,744
  5. Step 5: Solve for x
    x = 2,001,975,967,744/656,792
  6. Step 6: Final answer
    x = 3,048,112.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.