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Finding the Third Proportional to 789,143.50 and 1,739,153

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Solution

The third proportional to 789,143.50 and 1,739,153 is: 3,832,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,143.50 : 1,739,153 = 1,739,153 : x
  2. Step 2: Convert to fraction form
    789,143.50/1,739,153 = 1,739,153/x
  3. Step 3: Cross multiply
    789,143.50x = 1,739,153 × 1,739,153
  4. Step 4: Simplify right side
    789,143.50x = 3,024,653,157,409
  5. Step 5: Solve for x
    x = 3,024,653,157,409/789,143.50
  6. Step 6: Final answer
    x = 3,832,830.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.