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Finding the Third Proportional to 852,120 and 1,832,989.50

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Solution

The third proportional to 852,120 and 1,832,989.50 is: 3,942,931.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,120 : 1,832,989.50 = 1,832,989.50 : x
  2. Step 2: Convert to fraction form
    852,120/1,832,989.50 = 1,832,989.50/x
  3. Step 3: Cross multiply
    852,120x = 1,832,989.50 × 1,832,989.50
  4. Step 4: Simplify right side
    852,120x = 3,359,850,507,110.25
  5. Step 5: Solve for x
    x = 3,359,850,507,110.25/852,120
  6. Step 6: Final answer
    x = 3,942,931.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.