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Finding the Third Proportional to 948,782 and 2,072,668

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Solution

The third proportional to 948,782 and 2,072,668 is: 4,527,860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,782 : 2,072,668 = 2,072,668 : x
  2. Step 2: Convert to fraction form
    948,782/2,072,668 = 2,072,668/x
  3. Step 3: Cross multiply
    948,782x = 2,072,668 × 2,072,668
  4. Step 4: Simplify right side
    948,782x = 4,295,952,638,224
  5. Step 5: Solve for x
    x = 4,295,952,638,224/948,782
  6. Step 6: Final answer
    x = 4,527,860.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.