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Finding the Third Proportional to 587,867 and 859,117

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Solution

The third proportional to 587,867 and 859,117 is: 1,255,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,867 : 859,117 = 859,117 : x
  2. Step 2: Convert to fraction form
    587,867/859,117 = 859,117/x
  3. Step 3: Cross multiply
    587,867x = 859,117 × 859,117
  4. Step 4: Simplify right side
    587,867x = 738,082,019,689
  5. Step 5: Solve for x
    x = 738,082,019,689/587,867
  6. Step 6: Final answer
    x = 1,255,525.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.