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Finding the Third Proportional to 1,780,512 and 3,772,920

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Solution

The third proportional to 1,780,512 and 3,772,920 is: 7,994,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,512 : 3,772,920 = 3,772,920 : x
  2. Step 2: Convert to fraction form
    1,780,512/3,772,920 = 3,772,920/x
  3. Step 3: Cross multiply
    1,780,512x = 3,772,920 × 3,772,920
  4. Step 4: Simplify right side
    1,780,512x = 14,234,925,326,400
  5. Step 5: Solve for x
    x = 14,234,925,326,400/1,780,512
  6. Step 6: Final answer
    x = 7,994,849.42

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.