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Finding the Third Proportional to 640,352 and 1,380,016

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Solution

The third proportional to 640,352 and 1,380,016 is: 2,974,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,352 : 1,380,016 = 1,380,016 : x
  2. Step 2: Convert to fraction form
    640,352/1,380,016 = 1,380,016/x
  3. Step 3: Cross multiply
    640,352x = 1,380,016 × 1,380,016
  4. Step 4: Simplify right side
    640,352x = 1,904,444,160,256
  5. Step 5: Solve for x
    x = 1,904,444,160,256/640,352
  6. Step 6: Final answer
    x = 2,974,058.27

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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.