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Finding the Third Proportional to 410,741 and 882,199

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Solution

The third proportional to 410,741 and 882,199 is: 1,894,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,741 : 882,199 = 882,199 : x
  2. Step 2: Convert to fraction form
    410,741/882,199 = 882,199/x
  3. Step 3: Cross multiply
    410,741x = 882,199 × 882,199
  4. Step 4: Simplify right side
    410,741x = 778,275,075,601
  5. Step 5: Solve for x
    x = 778,275,075,601/410,741
  6. Step 6: Final answer
    x = 1,894,807.37

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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.