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Finding the Third Proportional to 468,400 and 1,105,345

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Solution

The third proportional to 468,400 and 1,105,345 is: 2,608,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,400 : 1,105,345 = 1,105,345 : x
  2. Step 2: Convert to fraction form
    468,400/1,105,345 = 1,105,345/x
  3. Step 3: Cross multiply
    468,400x = 1,105,345 × 1,105,345
  4. Step 4: Simplify right side
    468,400x = 1,221,787,569,025
  5. Step 5: Solve for x
    x = 1,221,787,569,025/468,400
  6. Step 6: Final answer
    x = 2,608,427.77

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.