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Finding the Third Proportional to 585,740 and 1,187,779

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Solution

The third proportional to 585,740 and 1,187,779 is: 2,408,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,740 : 1,187,779 = 1,187,779 : x
  2. Step 2: Convert to fraction form
    585,740/1,187,779 = 1,187,779/x
  3. Step 3: Cross multiply
    585,740x = 1,187,779 × 1,187,779
  4. Step 4: Simplify right side
    585,740x = 1,410,818,952,841
  5. Step 5: Solve for x
    x = 1,410,818,952,841/585,740
  6. Step 6: Final answer
    x = 2,408,609.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.