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Finding the Third Proportional to 696,583 and 1,422,682

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Solution

The third proportional to 696,583 and 1,422,682 is: 2,905,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,583 : 1,422,682 = 1,422,682 : x
  2. Step 2: Convert to fraction form
    696,583/1,422,682 = 1,422,682/x
  3. Step 3: Cross multiply
    696,583x = 1,422,682 × 1,422,682
  4. Step 4: Simplify right side
    696,583x = 2,024,024,073,124
  5. Step 5: Solve for x
    x = 2,024,024,073,124/696,583
  6. Step 6: Final answer
    x = 2,905,646.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.