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Finding the Third Proportional to 1,040,505.75 and 2,270,090.81

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Solution

The third proportional to 1,040,505.75 and 2,270,090.81 is: 4,952,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,505.75 : 2,270,090.81 = 2,270,090.81 : x
  2. Step 2: Convert to fraction form
    1,040,505.75/2,270,090.81 = 2,270,090.81/x
  3. Step 3: Cross multiply
    1,040,505.75x = 2,270,090.81 × 2,270,090.81
  4. Step 4: Simplify right side
    1,040,505.75x = 5,153,312,296,996.91
  5. Step 5: Solve for x
    x = 5,153,312,296,996.91/1,040,505.75
  6. Step 6: Final answer
    x = 4,952,699.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.