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Finding the Third Proportional to 822,102 and 1,801,308

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Solution

The third proportional to 822,102 and 1,801,308 is: 3,946,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,102 : 1,801,308 = 1,801,308 : x
  2. Step 2: Convert to fraction form
    822,102/1,801,308 = 1,801,308/x
  3. Step 3: Cross multiply
    822,102x = 1,801,308 × 1,801,308
  4. Step 4: Simplify right side
    822,102x = 3,244,710,510,864
  5. Step 5: Solve for x
    x = 3,244,710,510,864/822,102
  6. Step 6: Final answer
    x = 3,946,846.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.