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Finding the Third Proportional to 405,081 and 881,577

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Solution

The third proportional to 405,081 and 881,577 is: 1,918,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,081 : 881,577 = 881,577 : x
  2. Step 2: Convert to fraction form
    405,081/881,577 = 881,577/x
  3. Step 3: Cross multiply
    405,081x = 881,577 × 881,577
  4. Step 4: Simplify right side
    405,081x = 777,178,006,929
  5. Step 5: Solve for x
    x = 777,178,006,929/405,081
  6. Step 6: Final answer
    x = 1,918,574.33

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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.