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Finding the Third Proportional to 477,663 and 1,007,166

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Solution

The third proportional to 477,663 and 1,007,166 is: 2,123,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,663 : 1,007,166 = 1,007,166 : x
  2. Step 2: Convert to fraction form
    477,663/1,007,166 = 1,007,166/x
  3. Step 3: Cross multiply
    477,663x = 1,007,166 × 1,007,166
  4. Step 4: Simplify right side
    477,663x = 1,014,383,351,556
  5. Step 5: Solve for x
    x = 1,014,383,351,556/477,663
  6. Step 6: Final answer
    x = 2,123,638.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.