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Finding the Third Proportional to 1,114,920 and 1,682,820

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Solution

The third proportional to 1,114,920 and 1,682,820 is: 2,539,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,920 : 1,682,820 = 1,682,820 : x
  2. Step 2: Convert to fraction form
    1,114,920/1,682,820 = 1,682,820/x
  3. Step 3: Cross multiply
    1,114,920x = 1,682,820 × 1,682,820
  4. Step 4: Simplify right side
    1,114,920x = 2,831,883,152,400
  5. Step 5: Solve for x
    x = 2,831,883,152,400/1,114,920
  6. Step 6: Final answer
    x = 2,539,987.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.