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Finding the Third Proportional to 405,963 and 881,091

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Solution

The third proportional to 405,963 and 881,091 is: 1,912,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,963 : 881,091 = 881,091 : x
  2. Step 2: Convert to fraction form
    405,963/881,091 = 881,091/x
  3. Step 3: Cross multiply
    405,963x = 881,091 × 881,091
  4. Step 4: Simplify right side
    405,963x = 776,321,350,281
  5. Step 5: Solve for x
    x = 776,321,350,281/405,963
  6. Step 6: Final answer
    x = 1,912,295.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.