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Finding the Third Proportional to 768,190 and 1,162,899

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Solution

The third proportional to 768,190 and 1,162,899 is: 1,760,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,190 : 1,162,899 = 1,162,899 : x
  2. Step 2: Convert to fraction form
    768,190/1,162,899 = 1,162,899/x
  3. Step 3: Cross multiply
    768,190x = 1,162,899 × 1,162,899
  4. Step 4: Simplify right side
    768,190x = 1,352,334,084,201
  5. Step 5: Solve for x
    x = 1,352,334,084,201/768,190
  6. Step 6: Final answer
    x = 1,760,416.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.