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Finding the Third Proportional to 745,054.69 and 1,609,206.38

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Solution

The third proportional to 745,054.69 and 1,609,206.38 is: 3,475,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,054.69 : 1,609,206.38 = 1,609,206.38 : x
  2. Step 2: Convert to fraction form
    745,054.69/1,609,206.38 = 1,609,206.38/x
  3. Step 3: Cross multiply
    745,054.69x = 1,609,206.38 × 1,609,206.38
  4. Step 4: Simplify right side
    745,054.69x = 2,589,545,157,340.64
  5. Step 5: Solve for x
    x = 2,589,545,157,340.64/745,054.69
  6. Step 6: Final answer
    x = 3,475,644.41

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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.