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Finding the Third Proportional to 511,959 and 1,117,086

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Solution

The third proportional to 511,959 and 1,117,086 is: 2,437,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,959 : 1,117,086 = 1,117,086 : x
  2. Step 2: Convert to fraction form
    511,959/1,117,086 = 1,117,086/x
  3. Step 3: Cross multiply
    511,959x = 1,117,086 × 1,117,086
  4. Step 4: Simplify right side
    511,959x = 1,247,881,131,396
  5. Step 5: Solve for x
    x = 1,247,881,131,396/511,959
  6. Step 6: Final answer
    x = 2,437,463.02

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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.