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Finding the Third Proportional to 1,821,920 and 2,718,160

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Solution

The third proportional to 1,821,920 and 2,718,160 is: 4,055,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,920 : 2,718,160 = 2,718,160 : x
  2. Step 2: Convert to fraction form
    1,821,920/2,718,160 = 2,718,160/x
  3. Step 3: Cross multiply
    1,821,920x = 2,718,160 × 2,718,160
  4. Step 4: Simplify right side
    1,821,920x = 7,388,393,785,600
  5. Step 5: Solve for x
    x = 7,388,393,785,600/1,821,920
  6. Step 6: Final answer
    x = 4,055,278.93

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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.