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Finding the Third Proportional to 640,364 and 1,380,040

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Solution

The third proportional to 640,364 and 1,380,040 is: 2,974,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,364 : 1,380,040 = 1,380,040 : x
  2. Step 2: Convert to fraction form
    640,364/1,380,040 = 1,380,040/x
  3. Step 3: Cross multiply
    640,364x = 1,380,040 × 1,380,040
  4. Step 4: Simplify right side
    640,364x = 1,904,510,401,600
  5. Step 5: Solve for x
    x = 1,904,510,401,600/640,364
  6. Step 6: Final answer
    x = 2,974,105.98

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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.