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Finding the Third Proportional to 699,286 and 1,533,356

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Solution

The third proportional to 699,286 and 1,533,356 is: 3,362,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,286 : 1,533,356 = 1,533,356 : x
  2. Step 2: Convert to fraction form
    699,286/1,533,356 = 1,533,356/x
  3. Step 3: Cross multiply
    699,286x = 1,533,356 × 1,533,356
  4. Step 4: Simplify right side
    699,286x = 2,351,180,622,736
  5. Step 5: Solve for x
    x = 2,351,180,622,736/699,286
  6. Step 6: Final answer
    x = 3,362,258.97

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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.