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Finding the Third Proportional to 405,234 and 881,823

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Solution

The third proportional to 405,234 and 881,823 is: 1,918,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,234 : 881,823 = 881,823 : x
  2. Step 2: Convert to fraction form
    405,234/881,823 = 881,823/x
  3. Step 3: Cross multiply
    405,234x = 881,823 × 881,823
  4. Step 4: Simplify right side
    405,234x = 777,611,803,329
  5. Step 5: Solve for x
    x = 777,611,803,329/405,234
  6. Step 6: Final answer
    x = 1,918,920.43

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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.