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Finding the Third Proportional to 405,231 and 881,814

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Solution

The third proportional to 405,231 and 881,814 is: 1,918,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,231 : 881,814 = 881,814 : x
  2. Step 2: Convert to fraction form
    405,231/881,814 = 881,814/x
  3. Step 3: Cross multiply
    405,231x = 881,814 × 881,814
  4. Step 4: Simplify right side
    405,231x = 777,595,930,596
  5. Step 5: Solve for x
    x = 777,595,930,596/405,231
  6. Step 6: Final answer
    x = 1,918,895.47

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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.