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Finding the Third Proportional to 779,433 and 1,674,899

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Solution

The third proportional to 779,433 and 1,674,899 is: 3,599,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,433 : 1,674,899 = 1,674,899 : x
  2. Step 2: Convert to fraction form
    779,433/1,674,899 = 1,674,899/x
  3. Step 3: Cross multiply
    779,433x = 1,674,899 × 1,674,899
  4. Step 4: Simplify right side
    779,433x = 2,805,286,660,201
  5. Step 5: Solve for x
    x = 2,805,286,660,201/779,433
  6. Step 6: Final answer
    x = 3,599,137.66

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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.