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Finding the Third Proportional to 996,821 and 2,124,129

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Solution

The third proportional to 996,821 and 2,124,129 is: 4,526,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,821 : 2,124,129 = 2,124,129 : x
  2. Step 2: Convert to fraction form
    996,821/2,124,129 = 2,124,129/x
  3. Step 3: Cross multiply
    996,821x = 2,124,129 × 2,124,129
  4. Step 4: Simplify right side
    996,821x = 4,511,924,008,641
  5. Step 5: Solve for x
    x = 4,511,924,008,641/996,821
  6. Step 6: Final answer
    x = 4,526,313.16

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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.