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Finding the Third Proportional to 745,896 and 1,609,728

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Solution

The third proportional to 745,896 and 1,609,728 is: 3,473,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,896 : 1,609,728 = 1,609,728 : x
  2. Step 2: Convert to fraction form
    745,896/1,609,728 = 1,609,728/x
  3. Step 3: Cross multiply
    745,896x = 1,609,728 × 1,609,728
  4. Step 4: Simplify right side
    745,896x = 2,591,224,233,984
  5. Step 5: Solve for x
    x = 2,591,224,233,984/745,896
  6. Step 6: Final answer
    x = 3,473,975.24

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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.