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Finding the Third Proportional to 972,967 and 2,129,194

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Solution

The third proportional to 972,967 and 2,129,194 is: 4,659,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,967 : 2,129,194 = 2,129,194 : x
  2. Step 2: Convert to fraction form
    972,967/2,129,194 = 2,129,194/x
  3. Step 3: Cross multiply
    972,967x = 2,129,194 × 2,129,194
  4. Step 4: Simplify right side
    972,967x = 4,533,467,089,636
  5. Step 5: Solve for x
    x = 4,533,467,089,636/972,967
  6. Step 6: Final answer
    x = 4,659,425.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.