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Finding the Third Proportional to 998,617 and 2,137,202

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Solution

The third proportional to 998,617 and 2,137,202 is: 4,573,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,617 : 2,137,202 = 2,137,202 : x
  2. Step 2: Convert to fraction form
    998,617/2,137,202 = 2,137,202/x
  3. Step 3: Cross multiply
    998,617x = 2,137,202 × 2,137,202
  4. Step 4: Simplify right side
    998,617x = 4,567,632,388,804
  5. Step 5: Solve for x
    x = 4,567,632,388,804/998,617
  6. Step 6: Final answer
    x = 4,573,958.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.