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Finding the Third Proportional to 405,242 and 881,838

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Solution

The third proportional to 405,242 and 881,838 is: 1,918,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,242 : 881,838 = 881,838 : x
  2. Step 2: Convert to fraction form
    405,242/881,838 = 881,838/x
  3. Step 3: Cross multiply
    405,242x = 881,838 × 881,838
  4. Step 4: Simplify right side
    405,242x = 777,638,258,244
  5. Step 5: Solve for x
    x = 777,638,258,244/405,242
  6. Step 6: Final answer
    x = 1,918,947.83

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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.