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Finding the Third Proportional to 640,014 and 1,400,556

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Solution

The third proportional to 640,014 and 1,400,556 is: 3,064,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,014 : 1,400,556 = 1,400,556 : x
  2. Step 2: Convert to fraction form
    640,014/1,400,556 = 1,400,556/x
  3. Step 3: Cross multiply
    640,014x = 1,400,556 × 1,400,556
  4. Step 4: Simplify right side
    640,014x = 1,961,557,109,136
  5. Step 5: Solve for x
    x = 1,961,557,109,136/640,014
  6. Step 6: Final answer
    x = 3,064,865.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.