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Finding the Third Proportional to 621,546 and 1,361,208

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Solution

The third proportional to 621,546 and 1,361,208 is: 2,981,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,546 : 1,361,208 = 1,361,208 : x
  2. Step 2: Convert to fraction form
    621,546/1,361,208 = 1,361,208/x
  3. Step 3: Cross multiply
    621,546x = 1,361,208 × 1,361,208
  4. Step 4: Simplify right side
    621,546x = 1,852,887,219,264
  5. Step 5: Solve for x
    x = 1,852,887,219,264/621,546
  6. Step 6: Final answer
    x = 2,981,094.27

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