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Finding the Third Proportional to 1,630,457.44 and 3,541,859.16

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Solution

The third proportional to 1,630,457.44 and 3,541,859.16 is: 7,694,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630,457.44 : 3,541,859.16 = 3,541,859.16 : x
  2. Step 2: Convert to fraction form
    1,630,457.44/3,541,859.16 = 3,541,859.16/x
  3. Step 3: Cross multiply
    1,630,457.44x = 3,541,859.16 × 3,541,859.16
  4. Step 4: Simplify right side
    1,630,457.44x = 12,544,766,282,711.96
  5. Step 5: Solve for x
    x = 12,544,766,282,711.96/1,630,457.44
  6. Step 6: Final answer
    x = 7,694,016.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.