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Finding the Third Proportional to 1,637,169 and 3,444,006

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Solution

The third proportional to 1,637,169 and 3,444,006 is: 7,244,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637,169 : 3,444,006 = 3,444,006 : x
  2. Step 2: Convert to fraction form
    1,637,169/3,444,006 = 3,444,006/x
  3. Step 3: Cross multiply
    1,637,169x = 3,444,006 × 3,444,006
  4. Step 4: Simplify right side
    1,637,169x = 11,861,177,328,036
  5. Step 5: Solve for x
    x = 11,861,177,328,036/1,637,169
  6. Step 6: Final answer
    x = 7,244,931.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.