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Finding the Third Proportional to 691,442 and 1,084,668

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Solution

The third proportional to 691,442 and 1,084,668 is: 1,701,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,442 : 1,084,668 = 1,084,668 : x
  2. Step 2: Convert to fraction form
    691,442/1,084,668 = 1,084,668/x
  3. Step 3: Cross multiply
    691,442x = 1,084,668 × 1,084,668
  4. Step 4: Simplify right side
    691,442x = 1,176,504,670,224
  5. Step 5: Solve for x
    x = 1,176,504,670,224/691,442
  6. Step 6: Final answer
    x = 1,701,523.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.