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Finding the Third Proportional to 935,662 and 1,448,205

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Solution

The third proportional to 935,662 and 1,448,205 is: 2,241,512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,662 : 1,448,205 = 1,448,205 : x
  2. Step 2: Convert to fraction form
    935,662/1,448,205 = 1,448,205/x
  3. Step 3: Cross multiply
    935,662x = 1,448,205 × 1,448,205
  4. Step 4: Simplify right side
    935,662x = 2,097,297,722,025
  5. Step 5: Solve for x
    x = 2,097,297,722,025/935,662
  6. Step 6: Final answer
    x = 2,241,512.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.