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Finding the Third Proportional to 694,382 and 1,048,947

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Solution

The third proportional to 694,382 and 1,048,947 is: 1,584,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,382 : 1,048,947 = 1,048,947 : x
  2. Step 2: Convert to fraction form
    694,382/1,048,947 = 1,048,947/x
  3. Step 3: Cross multiply
    694,382x = 1,048,947 × 1,048,947
  4. Step 4: Simplify right side
    694,382x = 1,100,289,808,809
  5. Step 5: Solve for x
    x = 1,100,289,808,809/694,382
  6. Step 6: Final answer
    x = 1,584,559.81

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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.