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Finding the Third Proportional to 2,068,233 and 3,089,835

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Solution

The third proportional to 2,068,233 and 3,089,835 is: 4,616,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,233 : 3,089,835 = 3,089,835 : x
  2. Step 2: Convert to fraction form
    2,068,233/3,089,835 = 3,089,835/x
  3. Step 3: Cross multiply
    2,068,233x = 3,089,835 × 3,089,835
  4. Step 4: Simplify right side
    2,068,233x = 9,547,080,327,225
  5. Step 5: Solve for x
    x = 9,547,080,327,225/2,068,233
  6. Step 6: Final answer
    x = 4,616,056.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.