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Finding the Third Proportional to 745,435 and 1,608,896

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Solution

The third proportional to 745,435 and 1,608,896 is: 3,472,531.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,435 : 1,608,896 = 1,608,896 : x
  2. Step 2: Convert to fraction form
    745,435/1,608,896 = 1,608,896/x
  3. Step 3: Cross multiply
    745,435x = 1,608,896 × 1,608,896
  4. Step 4: Simplify right side
    745,435x = 2,588,546,338,816
  5. Step 5: Solve for x
    x = 2,588,546,338,816/745,435
  6. Step 6: Final answer
    x = 3,472,531.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.