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Finding the Third Proportional to 599,740 and 1,266,817

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Solution

The third proportional to 599,740 and 1,266,817 is: 2,675,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,740 : 1,266,817 = 1,266,817 : x
  2. Step 2: Convert to fraction form
    599,740/1,266,817 = 1,266,817/x
  3. Step 3: Cross multiply
    599,740x = 1,266,817 × 1,266,817
  4. Step 4: Simplify right side
    599,740x = 1,604,825,311,489
  5. Step 5: Solve for x
    x = 1,604,825,311,489/599,740
  6. Step 6: Final answer
    x = 2,675,868.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.