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Finding the Third Proportional to 511,590 and 1,076,208

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Solution

The third proportional to 511,590 and 1,076,208 is: 2,263,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,590 : 1,076,208 = 1,076,208 : x
  2. Step 2: Convert to fraction form
    511,590/1,076,208 = 1,076,208/x
  3. Step 3: Cross multiply
    511,590x = 1,076,208 × 1,076,208
  4. Step 4: Simplify right side
    511,590x = 1,158,223,659,264
  5. Step 5: Solve for x
    x = 1,158,223,659,264/511,590
  6. Step 6: Final answer
    x = 2,263,968.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.