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Finding the Third Proportional to 946,406 and 2,064,087

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Solution

The third proportional to 946,406 and 2,064,087 is: 4,501,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,406 : 2,064,087 = 2,064,087 : x
  2. Step 2: Convert to fraction form
    946,406/2,064,087 = 2,064,087/x
  3. Step 3: Cross multiply
    946,406x = 2,064,087 × 2,064,087
  4. Step 4: Simplify right side
    946,406x = 4,260,455,143,569
  5. Step 5: Solve for x
    x = 4,260,455,143,569/946,406
  6. Step 6: Final answer
    x = 4,501,720.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.