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Finding the Third Proportional to 389,617 and 845,666

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Solution

The third proportional to 389,617 and 845,666 is: 1,835,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,617 : 845,666 = 845,666 : x
  2. Step 2: Convert to fraction form
    389,617/845,666 = 845,666/x
  3. Step 3: Cross multiply
    389,617x = 845,666 × 845,666
  4. Step 4: Simplify right side
    389,617x = 715,150,983,556
  5. Step 5: Solve for x
    x = 715,150,983,556/389,617
  6. Step 6: Final answer
    x = 1,835,523.05

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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.