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Finding the Third Proportional to 948,400 and 1,454,178

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Solution

The third proportional to 948,400 and 1,454,178 is: 2,229,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,400 : 1,454,178 = 1,454,178 : x
  2. Step 2: Convert to fraction form
    948,400/1,454,178 = 1,454,178/x
  3. Step 3: Cross multiply
    948,400x = 1,454,178 × 1,454,178
  4. Step 4: Simplify right side
    948,400x = 2,114,633,655,684
  5. Step 5: Solve for x
    x = 2,114,633,655,684/948,400
  6. Step 6: Final answer
    x = 2,229,685.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.