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Finding the Third Proportional to 891,968 and 1,906,048

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Solution

The third proportional to 891,968 and 1,906,048 is: 4,073,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,968 : 1,906,048 = 1,906,048 : x
  2. Step 2: Convert to fraction form
    891,968/1,906,048 = 1,906,048/x
  3. Step 3: Cross multiply
    891,968x = 1,906,048 × 1,906,048
  4. Step 4: Simplify right side
    891,968x = 3,633,018,978,304
  5. Step 5: Solve for x
    x = 3,633,018,978,304/891,968
  6. Step 6: Final answer
    x = 4,073,037.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.