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Finding the Third Proportional to 472,911 and 1,007,166

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Solution

The third proportional to 472,911 and 1,007,166 is: 2,144,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,911 : 1,007,166 = 1,007,166 : x
  2. Step 2: Convert to fraction form
    472,911/1,007,166 = 1,007,166/x
  3. Step 3: Cross multiply
    472,911x = 1,007,166 × 1,007,166
  4. Step 4: Simplify right side
    472,911x = 1,014,383,351,556
  5. Step 5: Solve for x
    x = 1,014,383,351,556/472,911
  6. Step 6: Final answer
    x = 2,144,977.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.