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Finding the Third Proportional to 1,036,165.50 and 2,229,795

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Solution

The third proportional to 1,036,165.50 and 2,229,795 is: 4,798,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,165.50 : 2,229,795 = 2,229,795 : x
  2. Step 2: Convert to fraction form
    1,036,165.50/2,229,795 = 2,229,795/x
  3. Step 3: Cross multiply
    1,036,165.50x = 2,229,795 × 2,229,795
  4. Step 4: Simplify right side
    1,036,165.50x = 4,971,985,742,025
  5. Step 5: Solve for x
    x = 4,971,985,742,025/1,036,165.50
  6. Step 6: Final answer
    x = 4,798,447.49

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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.