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Finding the Third Proportional to 1,722,409.50 and 4,023,048

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Solution

The third proportional to 1,722,409.50 and 4,023,048 is: 9,396,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722,409.50 : 4,023,048 = 4,023,048 : x
  2. Step 2: Convert to fraction form
    1,722,409.50/4,023,048 = 4,023,048/x
  3. Step 3: Cross multiply
    1,722,409.50x = 4,023,048 × 4,023,048
  4. Step 4: Simplify right side
    1,722,409.50x = 16,184,915,210,304
  5. Step 5: Solve for x
    x = 16,184,915,210,304/1,722,409.50
  6. Step 6: Final answer
    x = 9,396,670.89

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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.