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Finding the Third Proportional to 511,828 and 1,101,416

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Solution

The third proportional to 511,828 and 1,101,416 is: 2,370,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,828 : 1,101,416 = 1,101,416 : x
  2. Step 2: Convert to fraction form
    511,828/1,101,416 = 1,101,416/x
  3. Step 3: Cross multiply
    511,828x = 1,101,416 × 1,101,416
  4. Step 4: Simplify right side
    511,828x = 1,213,117,205,056
  5. Step 5: Solve for x
    x = 1,213,117,205,056/511,828
  6. Step 6: Final answer
    x = 2,370,165.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.