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Finding the Third Proportional to 779,396.25 and 1,674,825

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Solution

The third proportional to 779,396.25 and 1,674,825 is: 3,598,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,396.25 : 1,674,825 = 1,674,825 : x
  2. Step 2: Convert to fraction form
    779,396.25/1,674,825 = 1,674,825/x
  3. Step 3: Cross multiply
    779,396.25x = 1,674,825 × 1,674,825
  4. Step 4: Simplify right side
    779,396.25x = 2,805,038,780,625
  5. Step 5: Solve for x
    x = 2,805,038,780,625/779,396.25
  6. Step 6: Final answer
    x = 3,598,989.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.