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Finding the Third Proportional to 619,368 and 1,356,834

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Solution

The third proportional to 619,368 and 1,356,834 is: 2,972,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,368 : 1,356,834 = 1,356,834 : x
  2. Step 2: Convert to fraction form
    619,368/1,356,834 = 1,356,834/x
  3. Step 3: Cross multiply
    619,368x = 1,356,834 × 1,356,834
  4. Step 4: Simplify right side
    619,368x = 1,840,998,503,556
  5. Step 5: Solve for x
    x = 1,840,998,503,556/619,368
  6. Step 6: Final answer
    x = 2,972,382.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.