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Finding the Third Proportional to 477,223 and 1,029,167

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Solution

The third proportional to 477,223 and 1,029,167 is: 2,219,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,223 : 1,029,167 = 1,029,167 : x
  2. Step 2: Convert to fraction form
    477,223/1,029,167 = 1,029,167/x
  3. Step 3: Cross multiply
    477,223x = 1,029,167 × 1,029,167
  4. Step 4: Simplify right side
    477,223x = 1,059,184,713,889
  5. Step 5: Solve for x
    x = 1,059,184,713,889/477,223
  6. Step 6: Final answer
    x = 2,219,475.41

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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.