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Finding the Third Proportional to 633,940 and 1,297,030

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Solution

The third proportional to 633,940 and 1,297,030 is: 2,653,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,940 : 1,297,030 = 1,297,030 : x
  2. Step 2: Convert to fraction form
    633,940/1,297,030 = 1,297,030/x
  3. Step 3: Cross multiply
    633,940x = 1,297,030 × 1,297,030
  4. Step 4: Simplify right side
    633,940x = 1,682,286,820,900
  5. Step 5: Solve for x
    x = 1,682,286,820,900/633,940
  6. Step 6: Final answer
    x = 2,653,700.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.