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Finding the Third Proportional to 405,237 and 881,825

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Solution

The third proportional to 405,237 and 881,825 is: 1,918,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,237 : 881,825 = 881,825 : x
  2. Step 2: Convert to fraction form
    405,237/881,825 = 881,825/x
  3. Step 3: Cross multiply
    405,237x = 881,825 × 881,825
  4. Step 4: Simplify right side
    405,237x = 777,615,330,625
  5. Step 5: Solve for x
    x = 777,615,330,625/405,237
  6. Step 6: Final answer
    x = 1,918,914.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.