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Finding the Third Proportional to 683,376 and 1,041,912

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Solution

The third proportional to 683,376 and 1,041,912 is: 1,588,555.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,376 : 1,041,912 = 1,041,912 : x
  2. Step 2: Convert to fraction form
    683,376/1,041,912 = 1,041,912/x
  3. Step 3: Cross multiply
    683,376x = 1,041,912 × 1,041,912
  4. Step 4: Simplify right side
    683,376x = 1,085,580,615,744
  5. Step 5: Solve for x
    x = 1,085,580,615,744/683,376
  6. Step 6: Final answer
    x = 1,588,555.37

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.