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Finding the Third Proportional to 1,961,006 and 4,269,259

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Solution

The third proportional to 1,961,006 and 4,269,259 is: 9,294,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961,006 : 4,269,259 = 4,269,259 : x
  2. Step 2: Convert to fraction form
    1,961,006/4,269,259 = 4,269,259/x
  3. Step 3: Cross multiply
    1,961,006x = 4,269,259 × 4,269,259
  4. Step 4: Simplify right side
    1,961,006x = 18,226,572,409,081
  5. Step 5: Solve for x
    x = 18,226,572,409,081/1,961,006
  6. Step 6: Final answer
    x = 9,294,501.09

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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.