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Finding the Third Proportional to 701,238 and 1,513,194

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Solution

The third proportional to 701,238 and 1,513,194 is: 3,265,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,238 : 1,513,194 = 1,513,194 : x
  2. Step 2: Convert to fraction form
    701,238/1,513,194 = 1,513,194/x
  3. Step 3: Cross multiply
    701,238x = 1,513,194 × 1,513,194
  4. Step 4: Simplify right side
    701,238x = 2,289,756,081,636
  5. Step 5: Solve for x
    x = 2,289,756,081,636/701,238
  6. Step 6: Final answer
    x = 3,265,305.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.