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Finding the Third Proportional to 779,471 and 1,674,976

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Solution

The third proportional to 779,471 and 1,674,976 is: 3,599,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,471 : 1,674,976 = 1,674,976 : x
  2. Step 2: Convert to fraction form
    779,471/1,674,976 = 1,674,976/x
  3. Step 3: Cross multiply
    779,471x = 1,674,976 × 1,674,976
  4. Step 4: Simplify right side
    779,471x = 2,805,544,600,576
  5. Step 5: Solve for x
    x = 2,805,544,600,576/779,471
  6. Step 6: Final answer
    x = 3,599,293.11

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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.