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Finding the Third Proportional to 1,722,407.50 and 4,023,043

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Solution

The third proportional to 1,722,407.50 and 4,023,043 is: 9,396,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722,407.50 : 4,023,043 = 4,023,043 : x
  2. Step 2: Convert to fraction form
    1,722,407.50/4,023,043 = 4,023,043/x
  3. Step 3: Cross multiply
    1,722,407.50x = 4,023,043 × 4,023,043
  4. Step 4: Simplify right side
    1,722,407.50x = 16,184,874,979,849
  5. Step 5: Solve for x
    x = 16,184,874,979,849/1,722,407.50
  6. Step 6: Final answer
    x = 9,396,658.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.