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Finding the Third Proportional to 3,886,182 and 5,434,377.75

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Solution

The third proportional to 3,886,182 and 5,434,377.75 is: 7,599,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886,182 : 5,434,377.75 = 5,434,377.75 : x
  2. Step 2: Convert to fraction form
    3,886,182/5,434,377.75 = 5,434,377.75/x
  3. Step 3: Cross multiply
    3,886,182x = 5,434,377.75 × 5,434,377.75
  4. Step 4: Simplify right side
    3,886,182x = 29,532,461,529,695.06
  5. Step 5: Solve for x
    x = 29,532,461,529,695.06/3,886,182
  6. Step 6: Final answer
    x = 7,599,351.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.