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Finding the Third Proportional to 1,302,201 and 2,704,194

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Solution

The third proportional to 1,302,201 and 2,704,194 is: 5,615,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,201 : 2,704,194 = 2,704,194 : x
  2. Step 2: Convert to fraction form
    1,302,201/2,704,194 = 2,704,194/x
  3. Step 3: Cross multiply
    1,302,201x = 2,704,194 × 2,704,194
  4. Step 4: Simplify right side
    1,302,201x = 7,312,665,189,636
  5. Step 5: Solve for x
    x = 7,312,665,189,636/1,302,201
  6. Step 6: Final answer
    x = 5,615,619.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.