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Finding the Third Proportional to 511,500 and 1,076,034

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Solution

The third proportional to 511,500 and 1,076,034 is: 2,263,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,500 : 1,076,034 = 1,076,034 : x
  2. Step 2: Convert to fraction form
    511,500/1,076,034 = 1,076,034/x
  3. Step 3: Cross multiply
    511,500x = 1,076,034 × 1,076,034
  4. Step 4: Simplify right side
    511,500x = 1,157,849,169,156
  5. Step 5: Solve for x
    x = 1,157,849,169,156/511,500
  6. Step 6: Final answer
    x = 2,263,634.74

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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.