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Finding the Third Proportional to 405,239 and 881,829

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Solution

The third proportional to 405,239 and 881,829 is: 1,918,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,239 : 881,829 = 881,829 : x
  2. Step 2: Convert to fraction form
    405,239/881,829 = 881,829/x
  3. Step 3: Cross multiply
    405,239x = 881,829 × 881,829
  4. Step 4: Simplify right side
    405,239x = 777,622,385,241
  5. Step 5: Solve for x
    x = 777,622,385,241/405,239
  6. Step 6: Final answer
    x = 1,918,922.87

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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.