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Finding the Third Proportional to 423,092 and 881,176

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Solution

The third proportional to 423,092 and 881,176 is: 1,835,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,092 : 881,176 = 881,176 : x
  2. Step 2: Convert to fraction form
    423,092/881,176 = 881,176/x
  3. Step 3: Cross multiply
    423,092x = 881,176 × 881,176
  4. Step 4: Simplify right side
    423,092x = 776,471,142,976
  5. Step 5: Solve for x
    x = 776,471,142,976/423,092
  6. Step 6: Final answer
    x = 1,835,230.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.