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Finding the Third Proportional to 451,158.61 and 1,003,188.80

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Solution

The third proportional to 451,158.61 and 1,003,188.80 is: 2,230,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,158.61 : 1,003,188.80 = 1,003,188.80 : x
  2. Step 2: Convert to fraction form
    451,158.61/1,003,188.80 = 1,003,188.80/x
  3. Step 3: Cross multiply
    451,158.61x = 1,003,188.80 × 1,003,188.80
  4. Step 4: Simplify right side
    451,158.61x = 1,006,387,762,175.51
  5. Step 5: Solve for x
    x = 1,006,387,762,175.51/451,158.61
  6. Step 6: Final answer
    x = 2,230,673.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.