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Finding the Third Proportional to 696,030 and 1,519,896

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Solution

The third proportional to 696,030 and 1,519,896 is: 3,318,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,030 : 1,519,896 = 1,519,896 : x
  2. Step 2: Convert to fraction form
    696,030/1,519,896 = 1,519,896/x
  3. Step 3: Cross multiply
    696,030x = 1,519,896 × 1,519,896
  4. Step 4: Simplify right side
    696,030x = 2,310,083,850,816
  5. Step 5: Solve for x
    x = 2,310,083,850,816/696,030
  6. Step 6: Final answer
    x = 3,318,942.93

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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.