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Finding the Third Proportional to 441,072 and 956,828

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Solution

The third proportional to 441,072 and 956,828 is: 2,075,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,072 : 956,828 = 956,828 : x
  2. Step 2: Convert to fraction form
    441,072/956,828 = 956,828/x
  3. Step 3: Cross multiply
    441,072x = 956,828 × 956,828
  4. Step 4: Simplify right side
    441,072x = 915,519,821,584
  5. Step 5: Solve for x
    x = 915,519,821,584/441,072
  6. Step 6: Final answer
    x = 2,075,669.78

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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.