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Finding the Third Proportional to 640,506 and 1,379,976

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Solution

The third proportional to 640,506 and 1,379,976 is: 2,973,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,506 : 1,379,976 = 1,379,976 : x
  2. Step 2: Convert to fraction form
    640,506/1,379,976 = 1,379,976/x
  3. Step 3: Cross multiply
    640,506x = 1,379,976 × 1,379,976
  4. Step 4: Simplify right side
    640,506x = 1,904,333,760,576
  5. Step 5: Solve for x
    x = 1,904,333,760,576/640,506
  6. Step 6: Final answer
    x = 2,973,170.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.