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Finding the Third Proportional to 3,742,095.75 and 5,213,682

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Solution

The third proportional to 3,742,095.75 and 5,213,682 is: 7,263,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742,095.75 : 5,213,682 = 5,213,682 : x
  2. Step 2: Convert to fraction form
    3,742,095.75/5,213,682 = 5,213,682/x
  3. Step 3: Cross multiply
    3,742,095.75x = 5,213,682 × 5,213,682
  4. Step 4: Simplify right side
    3,742,095.75x = 27,182,479,997,124
  5. Step 5: Solve for x
    x = 27,182,479,997,124/3,742,095.75
  6. Step 6: Final answer
    x = 7,263,972.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.