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Finding the Third Proportional to 1,831,847.50 and 3,915,791

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Solution

The third proportional to 1,831,847.50 and 3,915,791 is: 8,370,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,847.50 : 3,915,791 = 3,915,791 : x
  2. Step 2: Convert to fraction form
    1,831,847.50/3,915,791 = 3,915,791/x
  3. Step 3: Cross multiply
    1,831,847.50x = 3,915,791 × 3,915,791
  4. Step 4: Simplify right side
    1,831,847.50x = 15,333,419,155,681
  5. Step 5: Solve for x
    x = 15,333,419,155,681/1,831,847.50
  6. Step 6: Final answer
    x = 8,370,467.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.