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Finding the Third Proportional to 736,326 and 1,613,187

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Solution

The third proportional to 736,326 and 1,613,187 is: 3,534,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,326 : 1,613,187 = 1,613,187 : x
  2. Step 2: Convert to fraction form
    736,326/1,613,187 = 1,613,187/x
  3. Step 3: Cross multiply
    736,326x = 1,613,187 × 1,613,187
  4. Step 4: Simplify right side
    736,326x = 2,602,372,296,969
  5. Step 5: Solve for x
    x = 2,602,372,296,969/736,326
  6. Step 6: Final answer
    x = 3,534,266.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.