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Finding the Third Proportional to 474,041 and 880,828

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Solution

The third proportional to 474,041 and 880,828 is: 1,636,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,041 : 880,828 = 880,828 : x
  2. Step 2: Convert to fraction form
    474,041/880,828 = 880,828/x
  3. Step 3: Cross multiply
    474,041x = 880,828 × 880,828
  4. Step 4: Simplify right side
    474,041x = 775,857,965,584
  5. Step 5: Solve for x
    x = 775,857,965,584/474,041
  6. Step 6: Final answer
    x = 1,636,689.58

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.