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Finding the Third Proportional to 972,924 and 2,089,704

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Solution

The third proportional to 972,924 and 2,089,704 is: 4,488,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,924 : 2,089,704 = 2,089,704 : x
  2. Step 2: Convert to fraction form
    972,924/2,089,704 = 2,089,704/x
  3. Step 3: Cross multiply
    972,924x = 2,089,704 × 2,089,704
  4. Step 4: Simplify right side
    972,924x = 4,366,862,807,616
  5. Step 5: Solve for x
    x = 4,366,862,807,616/972,924
  6. Step 6: Final answer
    x = 4,488,390.47

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