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Finding the Third Proportional to 512,640 and 1,101,168

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Solution

The third proportional to 512,640 and 1,101,168 is: 2,365,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,640 : 1,101,168 = 1,101,168 : x
  2. Step 2: Convert to fraction form
    512,640/1,101,168 = 1,101,168/x
  3. Step 3: Cross multiply
    512,640x = 1,101,168 × 1,101,168
  4. Step 4: Simplify right side
    512,640x = 1,212,570,964,224
  5. Step 5: Solve for x
    x = 1,212,570,964,224/512,640
  6. Step 6: Final answer
    x = 2,365,345.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.