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Finding the Third Proportional to 511,956 and 1,117,078

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Solution

The third proportional to 511,956 and 1,117,078 is: 2,437,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,956 : 1,117,078 = 1,117,078 : x
  2. Step 2: Convert to fraction form
    511,956/1,117,078 = 1,117,078/x
  3. Step 3: Cross multiply
    511,956x = 1,117,078 × 1,117,078
  4. Step 4: Simplify right side
    511,956x = 1,247,863,258,084
  5. Step 5: Solve for x
    x = 1,247,863,258,084/511,956
  6. Step 6: Final answer
    x = 2,437,442.39

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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.