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Finding the Third Proportional to 945,680 and 1,415,178

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Solution

The third proportional to 945,680 and 1,415,178 is: 2,117,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,680 : 1,415,178 = 1,415,178 : x
  2. Step 2: Convert to fraction form
    945,680/1,415,178 = 1,415,178/x
  3. Step 3: Cross multiply
    945,680x = 1,415,178 × 1,415,178
  4. Step 4: Simplify right side
    945,680x = 2,002,728,771,684
  5. Step 5: Solve for x
    x = 2,002,728,771,684/945,680
  6. Step 6: Final answer
    x = 2,117,765.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.