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Finding the Third Proportional to 838,827 and 1,825,110

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Solution

The third proportional to 838,827 and 1,825,110 is: 3,971,053.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,827 : 1,825,110 = 1,825,110 : x
  2. Step 2: Convert to fraction form
    838,827/1,825,110 = 1,825,110/x
  3. Step 3: Cross multiply
    838,827x = 1,825,110 × 1,825,110
  4. Step 4: Simplify right side
    838,827x = 3,331,026,512,100
  5. Step 5: Solve for x
    x = 3,331,026,512,100/838,827
  6. Step 6: Final answer
    x = 3,971,053.04

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