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Finding the Third Proportional to 640,360 and 1,380,032

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Solution

The third proportional to 640,360 and 1,380,032 is: 2,974,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,360 : 1,380,032 = 1,380,032 : x
  2. Step 2: Convert to fraction form
    640,360/1,380,032 = 1,380,032/x
  3. Step 3: Cross multiply
    640,360x = 1,380,032 × 1,380,032
  4. Step 4: Simplify right side
    640,360x = 1,904,488,321,024
  5. Step 5: Solve for x
    x = 1,904,488,321,024/640,360
  6. Step 6: Final answer
    x = 2,974,090.08

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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.