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Finding the Third Proportional to 613,724 and 1,312,744

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Solution

The third proportional to 613,724 and 1,312,744 is: 2,807,934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,724 : 1,312,744 = 1,312,744 : x
  2. Step 2: Convert to fraction form
    613,724/1,312,744 = 1,312,744/x
  3. Step 3: Cross multiply
    613,724x = 1,312,744 × 1,312,744
  4. Step 4: Simplify right side
    613,724x = 1,723,296,809,536
  5. Step 5: Solve for x
    x = 1,723,296,809,536/613,724
  6. Step 6: Final answer
    x = 2,807,934.53

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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.