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Finding the Third Proportional to 696,032 and 1,519,900

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Solution

The third proportional to 696,032 and 1,519,900 is: 3,318,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,032 : 1,519,900 = 1,519,900 : x
  2. Step 2: Convert to fraction form
    696,032/1,519,900 = 1,519,900/x
  3. Step 3: Cross multiply
    696,032x = 1,519,900 × 1,519,900
  4. Step 4: Simplify right side
    696,032x = 2,310,096,010,000
  5. Step 5: Solve for x
    x = 2,310,096,010,000/696,032
  6. Step 6: Final answer
    x = 3,318,950.87

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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.