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Finding the Third Proportional to 410,485 and 882,098

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Solution

The third proportional to 410,485 and 882,098 is: 1,895,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,485 : 882,098 = 882,098 : x
  2. Step 2: Convert to fraction form
    410,485/882,098 = 882,098/x
  3. Step 3: Cross multiply
    410,485x = 882,098 × 882,098
  4. Step 4: Simplify right side
    410,485x = 778,096,881,604
  5. Step 5: Solve for x
    x = 778,096,881,604/410,485
  6. Step 6: Final answer
    x = 1,895,554.97

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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.