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Finding the Third Proportional to 683,034.50 and 1,019,015

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Solution

The third proportional to 683,034.50 and 1,019,015 is: 1,520,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,034.50 : 1,019,015 = 1,019,015 : x
  2. Step 2: Convert to fraction form
    683,034.50/1,019,015 = 1,019,015/x
  3. Step 3: Cross multiply
    683,034.50x = 1,019,015 × 1,019,015
  4. Step 4: Simplify right side
    683,034.50x = 1,038,391,570,225
  5. Step 5: Solve for x
    x = 1,038,391,570,225/683,034.50
  6. Step 6: Final answer
    x = 1,520,262.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.