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Finding the Third Proportional to 511,951 and 1,117,211

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Solution

The third proportional to 511,951 and 1,117,211 is: 2,438,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,951 : 1,117,211 = 1,117,211 : x
  2. Step 2: Convert to fraction form
    511,951/1,117,211 = 1,117,211/x
  3. Step 3: Cross multiply
    511,951x = 1,117,211 × 1,117,211
  4. Step 4: Simplify right side
    511,951x = 1,248,160,418,521
  5. Step 5: Solve for x
    x = 1,248,160,418,521/511,951
  6. Step 6: Final answer
    x = 2,438,046.65

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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.