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Finding the Third Proportional to 741,348 and 1,618,632

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Solution

The third proportional to 741,348 and 1,618,632 is: 3,534,061.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,348 : 1,618,632 = 1,618,632 : x
  2. Step 2: Convert to fraction form
    741,348/1,618,632 = 1,618,632/x
  3. Step 3: Cross multiply
    741,348x = 1,618,632 × 1,618,632
  4. Step 4: Simplify right side
    741,348x = 2,619,969,551,424
  5. Step 5: Solve for x
    x = 2,619,969,551,424/741,348
  6. Step 6: Final answer
    x = 3,534,061.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.