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Finding the Third Proportional to 944,400 and 1,424,504

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Solution

The third proportional to 944,400 and 1,424,504 is: 2,148,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,400 : 1,424,504 = 1,424,504 : x
  2. Step 2: Convert to fraction form
    944,400/1,424,504 = 1,424,504/x
  3. Step 3: Cross multiply
    944,400x = 1,424,504 × 1,424,504
  4. Step 4: Simplify right side
    944,400x = 2,029,211,646,016
  5. Step 5: Solve for x
    x = 2,029,211,646,016/944,400
  6. Step 6: Final answer
    x = 2,148,678.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.