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Finding the Third Proportional to 996,823 and 2,124,133

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Solution

The third proportional to 996,823 and 2,124,133 is: 4,526,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,823 : 2,124,133 = 2,124,133 : x
  2. Step 2: Convert to fraction form
    996,823/2,124,133 = 2,124,133/x
  3. Step 3: Cross multiply
    996,823x = 2,124,133 × 2,124,133
  4. Step 4: Simplify right side
    996,823x = 4,511,941,001,689
  5. Step 5: Solve for x
    x = 4,511,941,001,689/996,823
  6. Step 6: Final answer
    x = 4,526,321.12

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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.