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Finding the Third Proportional to 405,206 and 881,764

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Solution

The third proportional to 405,206 and 881,764 is: 1,918,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,206 : 881,764 = 881,764 : x
  2. Step 2: Convert to fraction form
    405,206/881,764 = 881,764/x
  3. Step 3: Cross multiply
    405,206x = 881,764 × 881,764
  4. Step 4: Simplify right side
    405,206x = 777,507,751,696
  5. Step 5: Solve for x
    x = 777,507,751,696/405,206
  6. Step 6: Final answer
    x = 1,918,796.25

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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.