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Finding the Third Proportional to 822,522 and 1,903,997

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Solution

The third proportional to 822,522 and 1,903,997 is: 4,407,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,522 : 1,903,997 = 1,903,997 : x
  2. Step 2: Convert to fraction form
    822,522/1,903,997 = 1,903,997/x
  3. Step 3: Cross multiply
    822,522x = 1,903,997 × 1,903,997
  4. Step 4: Simplify right side
    822,522x = 3,625,204,576,009
  5. Step 5: Solve for x
    x = 3,625,204,576,009/822,522
  6. Step 6: Final answer
    x = 4,407,425.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.