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Finding the Third Proportional to 683,040 and 1,019,023

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Solution

The third proportional to 683,040 and 1,019,023 is: 1,520,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,040 : 1,019,023 = 1,019,023 : x
  2. Step 2: Convert to fraction form
    683,040/1,019,023 = 1,019,023/x
  3. Step 3: Cross multiply
    683,040x = 1,019,023 × 1,019,023
  4. Step 4: Simplify right side
    683,040x = 1,038,407,874,529
  5. Step 5: Solve for x
    x = 1,038,407,874,529/683,040
  6. Step 6: Final answer
    x = 1,520,273.89

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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.