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Finding the Third Proportional to 701,309 and 1,533,838

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Solution

The third proportional to 701,309 and 1,533,838 is: 3,354,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,309 : 1,533,838 = 1,533,838 : x
  2. Step 2: Convert to fraction form
    701,309/1,533,838 = 1,533,838/x
  3. Step 3: Cross multiply
    701,309x = 1,533,838 × 1,533,838
  4. Step 4: Simplify right side
    701,309x = 2,352,659,010,244
  5. Step 5: Solve for x
    x = 2,352,659,010,244/701,309
  6. Step 6: Final answer
    x = 3,354,668.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.