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Finding the Third Proportional to 635,964.75 and 1,371,637.13

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Solution

The third proportional to 635,964.75 and 1,371,637.13 is: 2,958,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,964.75 : 1,371,637.13 = 1,371,637.13 : x
  2. Step 2: Convert to fraction form
    635,964.75/1,371,637.13 = 1,371,637.13/x
  3. Step 3: Cross multiply
    635,964.75x = 1,371,637.13 × 1,371,637.13
  4. Step 4: Simplify right side
    635,964.75x = 1,881,388,402,678.27
  5. Step 5: Solve for x
    x = 1,881,388,402,678.27/635,964.75
  6. Step 6: Final answer
    x = 2,958,321.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.