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Finding the Third Proportional to 661,652 and 1,435,305

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Solution

The third proportional to 661,652 and 1,435,305 is: 3,113,570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,652 : 1,435,305 = 1,435,305 : x
  2. Step 2: Convert to fraction form
    661,652/1,435,305 = 1,435,305/x
  3. Step 3: Cross multiply
    661,652x = 1,435,305 × 1,435,305
  4. Step 4: Simplify right side
    661,652x = 2,060,100,443,025
  5. Step 5: Solve for x
    x = 2,060,100,443,025/661,652
  6. Step 6: Final answer
    x = 3,113,570.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.