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Finding the Third Proportional to 972,926 and 2,089,708

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Solution

The third proportional to 972,926 and 2,089,708 is: 4,488,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,926 : 2,089,708 = 2,089,708 : x
  2. Step 2: Convert to fraction form
    972,926/2,089,708 = 2,089,708/x
  3. Step 3: Cross multiply
    972,926x = 2,089,708 × 2,089,708
  4. Step 4: Simplify right side
    972,926x = 4,366,879,525,264
  5. Step 5: Solve for x
    x = 4,366,879,525,264/972,926
  6. Step 6: Final answer
    x = 4,488,398.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.