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Finding the Third Proportional to 587,817 and 879,444

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Solution

The third proportional to 587,817 and 879,444 is: 1,315,752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,817 : 879,444 = 879,444 : x
  2. Step 2: Convert to fraction form
    587,817/879,444 = 879,444/x
  3. Step 3: Cross multiply
    587,817x = 879,444 × 879,444
  4. Step 4: Simplify right side
    587,817x = 773,421,749,136
  5. Step 5: Solve for x
    x = 773,421,749,136/587,817
  6. Step 6: Final answer
    x = 1,315,752.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.