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Finding the Third Proportional to 600,006 and 1,267,456

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Solution

The third proportional to 600,006 and 1,267,456 is: 2,677,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,006 : 1,267,456 = 1,267,456 : x
  2. Step 2: Convert to fraction form
    600,006/1,267,456 = 1,267,456/x
  3. Step 3: Cross multiply
    600,006x = 1,267,456 × 1,267,456
  4. Step 4: Simplify right side
    600,006x = 1,606,444,711,936
  5. Step 5: Solve for x
    x = 1,606,444,711,936/600,006
  6. Step 6: Final answer
    x = 2,677,381.08

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