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Finding the Third Proportional to 640,370 and 1,380,052

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Solution

The third proportional to 640,370 and 1,380,052 is: 2,974,129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,370 : 1,380,052 = 1,380,052 : x
  2. Step 2: Convert to fraction form
    640,370/1,380,052 = 1,380,052/x
  3. Step 3: Cross multiply
    640,370x = 1,380,052 × 1,380,052
  4. Step 4: Simplify right side
    640,370x = 1,904,543,522,704
  5. Step 5: Solve for x
    x = 1,904,543,522,704/640,370
  6. Step 6: Final answer
    x = 2,974,129.84

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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.