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Finding the Third Proportional to 983,200 and 1,483,824

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Solution

The third proportional to 983,200 and 1,483,824 is: 2,239,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,200 : 1,483,824 = 1,483,824 : x
  2. Step 2: Convert to fraction form
    983,200/1,483,824 = 1,483,824/x
  3. Step 3: Cross multiply
    983,200x = 1,483,824 × 1,483,824
  4. Step 4: Simplify right side
    983,200x = 2,201,733,662,976
  5. Step 5: Solve for x
    x = 2,201,733,662,976/983,200
  6. Step 6: Final answer
    x = 2,239,354.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.