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Finding the Third Proportional to 996,816 and 2,124,120

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Solution

The third proportional to 996,816 and 2,124,120 is: 4,526,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,816 : 2,124,120 = 2,124,120 : x
  2. Step 2: Convert to fraction form
    996,816/2,124,120 = 2,124,120/x
  3. Step 3: Cross multiply
    996,816x = 2,124,120 × 2,124,120
  4. Step 4: Simplify right side
    996,816x = 4,511,885,774,400
  5. Step 5: Solve for x
    x = 4,511,885,774,400/996,816
  6. Step 6: Final answer
    x = 4,526,297.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.