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Finding the Third Proportional to 1,509,972 and 3,194,838

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Solution

The third proportional to 1,509,972 and 3,194,838 is: 6,759,721.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,972 : 3,194,838 = 3,194,838 : x
  2. Step 2: Convert to fraction form
    1,509,972/3,194,838 = 3,194,838/x
  3. Step 3: Cross multiply
    1,509,972x = 3,194,838 × 3,194,838
  4. Step 4: Simplify right side
    1,509,972x = 10,206,989,846,244
  5. Step 5: Solve for x
    x = 10,206,989,846,244/1,509,972
  6. Step 6: Final answer
    x = 6,759,721.27

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.