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Finding the Third Proportional to 1,192,084 and 2,586,004

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Solution

The third proportional to 1,192,084 and 2,586,004 is: 5,609,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192,084 : 2,586,004 = 2,586,004 : x
  2. Step 2: Convert to fraction form
    1,192,084/2,586,004 = 2,586,004/x
  3. Step 3: Cross multiply
    1,192,084x = 2,586,004 × 2,586,004
  4. Step 4: Simplify right side
    1,192,084x = 6,687,416,688,016
  5. Step 5: Solve for x
    x = 6,687,416,688,016/1,192,084
  6. Step 6: Final answer
    x = 5,609,853.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.