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Finding the Third Proportional to 831,087 and 1,819,813.50

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Solution

The third proportional to 831,087 and 1,819,813.50 is: 3,984,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,087 : 1,819,813.50 = 1,819,813.50 : x
  2. Step 2: Convert to fraction form
    831,087/1,819,813.50 = 1,819,813.50/x
  3. Step 3: Cross multiply
    831,087x = 1,819,813.50 × 1,819,813.50
  4. Step 4: Simplify right side
    831,087x = 3,311,721,174,782.25
  5. Step 5: Solve for x
    x = 3,311,721,174,782.25/831,087
  6. Step 6: Final answer
    x = 3,984,806.86

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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.