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Finding the Third Proportional to 963,087 and 1,493,324

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Solution

The third proportional to 963,087 and 1,493,324 is: 2,315,488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,087 : 1,493,324 = 1,493,324 : x
  2. Step 2: Convert to fraction form
    963,087/1,493,324 = 1,493,324/x
  3. Step 3: Cross multiply
    963,087x = 1,493,324 × 1,493,324
  4. Step 4: Simplify right side
    963,087x = 2,230,016,568,976
  5. Step 5: Solve for x
    x = 2,230,016,568,976/963,087
  6. Step 6: Final answer
    x = 2,315,488.18

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Why These Related Problems?

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