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Finding the Third Proportional to 839,214 and 1,290,672

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Solution

The third proportional to 839,214 and 1,290,672 is: 1,984,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,214 : 1,290,672 = 1,290,672 : x
  2. Step 2: Convert to fraction form
    839,214/1,290,672 = 1,290,672/x
  3. Step 3: Cross multiply
    839,214x = 1,290,672 × 1,290,672
  4. Step 4: Simplify right side
    839,214x = 1,665,834,211,584
  5. Step 5: Solve for x
    x = 1,665,834,211,584/839,214
  6. Step 6: Final answer
    x = 1,984,993.35

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.