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Finding the Third Proportional to 922,824 and 1,983,648

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Solution

The third proportional to 922,824 and 1,983,648 is: 4,263,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,824 : 1,983,648 = 1,983,648 : x
  2. Step 2: Convert to fraction form
    922,824/1,983,648 = 1,983,648/x
  3. Step 3: Cross multiply
    922,824x = 1,983,648 × 1,983,648
  4. Step 4: Simplify right side
    922,824x = 3,934,859,387,904
  5. Step 5: Solve for x
    x = 3,934,859,387,904/922,824
  6. Step 6: Final answer
    x = 4,263,932.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.