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Finding the Third Proportional to 683,024 and 1,097,436

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Solution

The third proportional to 683,024 and 1,097,436 is: 1,763,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,024 : 1,097,436 = 1,097,436 : x
  2. Step 2: Convert to fraction form
    683,024/1,097,436 = 1,097,436/x
  3. Step 3: Cross multiply
    683,024x = 1,097,436 × 1,097,436
  4. Step 4: Simplify right side
    683,024x = 1,204,365,774,096
  5. Step 5: Solve for x
    x = 1,204,365,774,096/683,024
  6. Step 6: Final answer
    x = 1,763,284.71

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.