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Finding the Third Proportional to 511,324 and 1,114,934

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Solution

The third proportional to 511,324 and 1,114,934 is: 2,431,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,324 : 1,114,934 = 1,114,934 : x
  2. Step 2: Convert to fraction form
    511,324/1,114,934 = 1,114,934/x
  3. Step 3: Cross multiply
    511,324x = 1,114,934 × 1,114,934
  4. Step 4: Simplify right side
    511,324x = 1,243,077,824,356
  5. Step 5: Solve for x
    x = 1,243,077,824,356/511,324
  6. Step 6: Final answer
    x = 2,431,096.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.