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Finding the Third Proportional to 750,795 and 1,619,697

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Solution

The third proportional to 750,795 and 1,619,697 is: 3,494,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,795 : 1,619,697 = 1,619,697 : x
  2. Step 2: Convert to fraction form
    750,795/1,619,697 = 1,619,697/x
  3. Step 3: Cross multiply
    750,795x = 1,619,697 × 1,619,697
  4. Step 4: Simplify right side
    750,795x = 2,623,418,371,809
  5. Step 5: Solve for x
    x = 2,623,418,371,809/750,795
  6. Step 6: Final answer
    x = 3,494,187.32

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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.