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Finding the Third Proportional to 696,970 and 1,511,956

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Solution

The third proportional to 696,970 and 1,511,956 is: 3,279,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,970 : 1,511,956 = 1,511,956 : x
  2. Step 2: Convert to fraction form
    696,970/1,511,956 = 1,511,956/x
  3. Step 3: Cross multiply
    696,970x = 1,511,956 × 1,511,956
  4. Step 4: Simplify right side
    696,970x = 2,286,010,945,936
  5. Step 5: Solve for x
    x = 2,286,010,945,936/696,970
  6. Step 6: Final answer
    x = 3,279,927.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.