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Finding the Third Proportional to 1,842,124.50 and 3,964,185

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Solution

The third proportional to 1,842,124.50 and 3,964,185 is: 8,530,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842,124.50 : 3,964,185 = 3,964,185 : x
  2. Step 2: Convert to fraction form
    1,842,124.50/3,964,185 = 3,964,185/x
  3. Step 3: Cross multiply
    1,842,124.50x = 3,964,185 × 3,964,185
  4. Step 4: Simplify right side
    1,842,124.50x = 15,714,762,714,225
  5. Step 5: Solve for x
    x = 15,714,762,714,225/1,842,124.50
  6. Step 6: Final answer
    x = 8,530,782.10

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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.