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Finding the Third Proportional to 587,870 and 859,121.50

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Solution

The third proportional to 587,870 and 859,121.50 is: 1,255,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,870 : 859,121.50 = 859,121.50 : x
  2. Step 2: Convert to fraction form
    587,870/859,121.50 = 859,121.50/x
  3. Step 3: Cross multiply
    587,870x = 859,121.50 × 859,121.50
  4. Step 4: Simplify right side
    587,870x = 738,089,751,762.25
  5. Step 5: Solve for x
    x = 738,089,751,762.25/587,870
  6. Step 6: Final answer
    x = 1,255,532.26

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