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Finding the Third Proportional to 745,731.56 and 1,601,823.09

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Solution

The third proportional to 745,731.56 and 1,601,823.09 is: 3,440,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,731.56 : 1,601,823.09 = 1,601,823.09 : x
  2. Step 2: Convert to fraction form
    745,731.56/1,601,823.09 = 1,601,823.09/x
  3. Step 3: Cross multiply
    745,731.56x = 1,601,823.09 × 1,601,823.09
  4. Step 4: Simplify right side
    745,731.56x = 2,565,837,223,670.82
  5. Step 5: Solve for x
    x = 2,565,837,223,670.82/745,731.56
  6. Step 6: Final answer
    x = 3,440,698.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.