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Finding the Third Proportional to 843,920 and 1,819,810

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Solution

The third proportional to 843,920 and 1,819,810 is: 3,924,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,920 : 1,819,810 = 1,819,810 : x
  2. Step 2: Convert to fraction form
    843,920/1,819,810 = 1,819,810/x
  3. Step 3: Cross multiply
    843,920x = 1,819,810 × 1,819,810
  4. Step 4: Simplify right side
    843,920x = 3,311,708,436,100
  5. Step 5: Solve for x
    x = 3,311,708,436,100/843,920
  6. Step 6: Final answer
    x = 3,924,197.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.