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Finding the Third Proportional to 477,211 and 1,022,733

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Solution

The third proportional to 477,211 and 1,022,733 is: 2,191,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,211 : 1,022,733 = 1,022,733 : x
  2. Step 2: Convert to fraction form
    477,211/1,022,733 = 1,022,733/x
  3. Step 3: Cross multiply
    477,211x = 1,022,733 × 1,022,733
  4. Step 4: Simplify right side
    477,211x = 1,045,982,789,289
  5. Step 5: Solve for x
    x = 1,045,982,789,289/477,211
  6. Step 6: Final answer
    x = 2,191,866.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.