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Finding the Third Proportional to 745,877 and 1,632,809

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Solution

The third proportional to 745,877 and 1,632,809 is: 3,574,403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,877 : 1,632,809 = 1,632,809 : x
  2. Step 2: Convert to fraction form
    745,877/1,632,809 = 1,632,809/x
  3. Step 3: Cross multiply
    745,877x = 1,632,809 × 1,632,809
  4. Step 4: Simplify right side
    745,877x = 2,666,065,230,481
  5. Step 5: Solve for x
    x = 2,666,065,230,481/745,877
  6. Step 6: Final answer
    x = 3,574,403.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.