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Finding the Third Proportional to 1,184,653 and 2,558,435

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Solution

The third proportional to 1,184,653 and 2,558,435 is: 5,525,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,653 : 2,558,435 = 2,558,435 : x
  2. Step 2: Convert to fraction form
    1,184,653/2,558,435 = 2,558,435/x
  3. Step 3: Cross multiply
    1,184,653x = 2,558,435 × 2,558,435
  4. Step 4: Simplify right side
    1,184,653x = 6,545,589,649,225
  5. Step 5: Solve for x
    x = 6,545,589,649,225/1,184,653
  6. Step 6: Final answer
    x = 5,525,322.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.