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Finding the Third Proportional to 612,223.31 and 1,313,020.13

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Solution

The third proportional to 612,223.31 and 1,313,020.13 is: 2,816,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,223.31 : 1,313,020.13 = 1,313,020.13 : x
  2. Step 2: Convert to fraction form
    612,223.31/1,313,020.13 = 1,313,020.13/x
  3. Step 3: Cross multiply
    612,223.31x = 1,313,020.13 × 1,313,020.13
  4. Step 4: Simplify right side
    612,223.31x = 1,724,021,848,655.02
  5. Step 5: Solve for x
    x = 1,724,021,848,655.02/612,223.31
  6. Step 6: Final answer
    x = 2,816,001.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.