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Finding the Third Proportional to 911,808 and 1,984,157

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Solution

The third proportional to 911,808 and 1,984,157 is: 4,317,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,808 : 1,984,157 = 1,984,157 : x
  2. Step 2: Convert to fraction form
    911,808/1,984,157 = 1,984,157/x
  3. Step 3: Cross multiply
    911,808x = 1,984,157 × 1,984,157
  4. Step 4: Simplify right side
    911,808x = 3,936,879,000,649
  5. Step 5: Solve for x
    x = 3,936,879,000,649/911,808
  6. Step 6: Final answer
    x = 4,317,662.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.