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Finding the Third Proportional to 1,536,374.25 and 3,362,046.75

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Solution

The third proportional to 1,536,374.25 and 3,362,046.75 is: 7,357,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,374.25 : 3,362,046.75 = 3,362,046.75 : x
  2. Step 2: Convert to fraction form
    1,536,374.25/3,362,046.75 = 3,362,046.75/x
  3. Step 3: Cross multiply
    1,536,374.25x = 3,362,046.75 × 3,362,046.75
  4. Step 4: Simplify right side
    1,536,374.25x = 11,303,358,349,185.56
  5. Step 5: Solve for x
    x = 11,303,358,349,185.56/1,536,374.25
  6. Step 6: Final answer
    x = 7,357,164.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.