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Finding the Third Proportional to 1,152,993.23 and 1,685,049.33

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Solution

The third proportional to 1,152,993.23 and 1,685,049.33 is: 2,462,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152,993.23 : 1,685,049.33 = 1,685,049.33 : x
  2. Step 2: Convert to fraction form
    1,152,993.23/1,685,049.33 = 1,685,049.33/x
  3. Step 3: Cross multiply
    1,152,993.23x = 1,685,049.33 × 1,685,049.33
  4. Step 4: Simplify right side
    1,152,993.23x = 2,839,391,238,214.51
  5. Step 5: Solve for x
    x = 2,839,391,238,214.51/1,152,993.23
  6. Step 6: Final answer
    x = 2,462,626.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.