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Finding the Third Proportional to 1,184,685.75 and 2,558,496.38

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Solution

The third proportional to 1,184,685.75 and 2,558,496.38 is: 5,525,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,685.75 : 2,558,496.38 = 2,558,496.38 : x
  2. Step 2: Convert to fraction form
    1,184,685.75/2,558,496.38 = 2,558,496.38/x
  3. Step 3: Cross multiply
    1,184,685.75x = 2,558,496.38 × 2,558,496.38
  4. Step 4: Simplify right side
    1,184,685.75x = 6,545,903,700,888.14
  5. Step 5: Solve for x
    x = 6,545,903,700,888.14/1,184,685.75
  6. Step 6: Final answer
    x = 5,525,434.66

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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.