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Finding the Third Proportional to 745,287.75 and 1,609,628.63

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Solution

The third proportional to 745,287.75 and 1,609,628.63 is: 3,476,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,287.75 : 1,609,628.63 = 1,609,628.63 : x
  2. Step 2: Convert to fraction form
    745,287.75/1,609,628.63 = 1,609,628.63/x
  3. Step 3: Cross multiply
    745,287.75x = 1,609,628.63 × 1,609,628.63
  4. Step 4: Simplify right side
    745,287.75x = 2,590,904,310,419.39
  5. Step 5: Solve for x
    x = 2,590,904,310,419.39/745,287.75
  6. Step 6: Final answer
    x = 3,476,381.18

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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.