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Finding the Third Proportional to 835,785 and 1,831,777.50

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Solution

The third proportional to 835,785 and 1,831,777.50 is: 4,014,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,785 : 1,831,777.50 = 1,831,777.50 : x
  2. Step 2: Convert to fraction form
    835,785/1,831,777.50 = 1,831,777.50/x
  3. Step 3: Cross multiply
    835,785x = 1,831,777.50 × 1,831,777.50
  4. Step 4: Simplify right side
    835,785x = 3,355,408,809,506.25
  5. Step 5: Solve for x
    x = 3,355,408,809,506.25/835,785
  6. Step 6: Final answer
    x = 4,014,679.38

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Why These Related Problems?

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