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Finding the Third Proportional to 405,234 and 881,820

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Solution

The third proportional to 405,234 and 881,820 is: 1,918,907.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,234 : 881,820 = 881,820 : x
  2. Step 2: Convert to fraction form
    405,234/881,820 = 881,820/x
  3. Step 3: Cross multiply
    405,234x = 881,820 × 881,820
  4. Step 4: Simplify right side
    405,234x = 777,606,512,400
  5. Step 5: Solve for x
    x = 777,606,512,400/405,234
  6. Step 6: Final answer
    x = 1,918,907.38

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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.