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Finding the Third Proportional to 635,943 and 1,382,313

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Solution

The third proportional to 635,943 and 1,382,313 is: 3,004,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,943 : 1,382,313 = 1,382,313 : x
  2. Step 2: Convert to fraction form
    635,943/1,382,313 = 1,382,313/x
  3. Step 3: Cross multiply
    635,943x = 1,382,313 × 1,382,313
  4. Step 4: Simplify right side
    635,943x = 1,910,789,229,969
  5. Step 5: Solve for x
    x = 1,910,789,229,969/635,943
  6. Step 6: Final answer
    x = 3,004,654.87

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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.