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Finding the Third Proportional to 746,842 and 1,619,702

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Solution

The third proportional to 746,842 and 1,619,702 is: 3,512,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,842 : 1,619,702 = 1,619,702 : x
  2. Step 2: Convert to fraction form
    746,842/1,619,702 = 1,619,702/x
  3. Step 3: Cross multiply
    746,842x = 1,619,702 × 1,619,702
  4. Step 4: Simplify right side
    746,842x = 2,623,434,568,804
  5. Step 5: Solve for x
    x = 2,623,434,568,804/746,842
  6. Step 6: Final answer
    x = 3,512,703.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.