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Finding the Third Proportional to 409,934 and 881,102

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Solution

The third proportional to 409,934 and 881,102 is: 1,893,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,934 : 881,102 = 881,102 : x
  2. Step 2: Convert to fraction form
    409,934/881,102 = 881,102/x
  3. Step 3: Cross multiply
    409,934x = 881,102 × 881,102
  4. Step 4: Simplify right side
    409,934x = 776,340,734,404
  5. Step 5: Solve for x
    x = 776,340,734,404/409,934
  6. Step 6: Final answer
    x = 1,893,818.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.