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Finding the Third Proportional to 1,321,954.50 and 1,783,630.50

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Solution

The third proportional to 1,321,954.50 and 1,783,630.50 is: 2,406,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321,954.50 : 1,783,630.50 = 1,783,630.50 : x
  2. Step 2: Convert to fraction form
    1,321,954.50/1,783,630.50 = 1,783,630.50/x
  3. Step 3: Cross multiply
    1,321,954.50x = 1,783,630.50 × 1,783,630.50
  4. Step 4: Simplify right side
    1,321,954.50x = 3,181,337,760,530.25
  5. Step 5: Solve for x
    x = 3,181,337,760,530.25/1,321,954.50
  6. Step 6: Final answer
    x = 2,406,541.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.