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Finding the Third Proportional to 587,902 and 859,168

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Solution

The third proportional to 587,902 and 859,168 is: 1,255,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,902 : 859,168 = 859,168 : x
  2. Step 2: Convert to fraction form
    587,902/859,168 = 859,168/x
  3. Step 3: Cross multiply
    587,902x = 859,168 × 859,168
  4. Step 4: Simplify right side
    587,902x = 738,169,652,224
  5. Step 5: Solve for x
    x = 738,169,652,224/587,902
  6. Step 6: Final answer
    x = 1,255,599.83

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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.