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Finding the Third Proportional to 640,912 and 1,483,670

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Solution

The third proportional to 640,912 and 1,483,670 is: 3,434,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,912 : 1,483,670 = 1,483,670 : x
  2. Step 2: Convert to fraction form
    640,912/1,483,670 = 1,483,670/x
  3. Step 3: Cross multiply
    640,912x = 1,483,670 × 1,483,670
  4. Step 4: Simplify right side
    640,912x = 2,201,276,668,900
  5. Step 5: Solve for x
    x = 2,201,276,668,900/640,912
  6. Step 6: Final answer
    x = 3,434,600.49

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.