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Finding the Third Proportional to 408,084 and 882,654

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Solution

The third proportional to 408,084 and 882,654 is: 1,909,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,084 : 882,654 = 882,654 : x
  2. Step 2: Convert to fraction form
    408,084/882,654 = 882,654/x
  3. Step 3: Cross multiply
    408,084x = 882,654 × 882,654
  4. Step 4: Simplify right side
    408,084x = 779,078,083,716
  5. Step 5: Solve for x
    x = 779,078,083,716/408,084
  6. Step 6: Final answer
    x = 1,909,112.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.