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Finding the Third Proportional to 967,684 and 1,504,518

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Solution

The third proportional to 967,684 and 1,504,518 is: 2,339,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,684 : 1,504,518 = 1,504,518 : x
  2. Step 2: Convert to fraction form
    967,684/1,504,518 = 1,504,518/x
  3. Step 3: Cross multiply
    967,684x = 1,504,518 × 1,504,518
  4. Step 4: Simplify right side
    967,684x = 2,263,574,412,324
  5. Step 5: Solve for x
    x = 2,263,574,412,324/967,684
  6. Step 6: Final answer
    x = 2,339,166.93

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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.