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Finding the Third Proportional to 838,824 and 1,825,104

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Solution

The third proportional to 838,824 and 1,825,104 is: 3,971,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,824 : 1,825,104 = 1,825,104 : x
  2. Step 2: Convert to fraction form
    838,824/1,825,104 = 1,825,104/x
  3. Step 3: Cross multiply
    838,824x = 1,825,104 × 1,825,104
  4. Step 4: Simplify right side
    838,824x = 3,331,004,610,816
  5. Step 5: Solve for x
    x = 3,331,004,610,816/838,824
  6. Step 6: Final answer
    x = 3,971,041.14

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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.