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Finding the Third Proportional to 640,362 and 1,380,036

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Solution

The third proportional to 640,362 and 1,380,036 is: 2,974,098.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,362 : 1,380,036 = 1,380,036 : x
  2. Step 2: Convert to fraction form
    640,362/1,380,036 = 1,380,036/x
  3. Step 3: Cross multiply
    640,362x = 1,380,036 × 1,380,036
  4. Step 4: Simplify right side
    640,362x = 1,904,499,361,296
  5. Step 5: Solve for x
    x = 1,904,499,361,296/640,362
  6. Step 6: Final answer
    x = 2,974,098.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.