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Finding the Third Proportional to 780,984 and 1,705,176

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Solution

The third proportional to 780,984 and 1,705,176 is: 3,723,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,984 : 1,705,176 = 1,705,176 : x
  2. Step 2: Convert to fraction form
    780,984/1,705,176 = 1,705,176/x
  3. Step 3: Cross multiply
    780,984x = 1,705,176 × 1,705,176
  4. Step 4: Simplify right side
    780,984x = 2,907,625,190,976
  5. Step 5: Solve for x
    x = 2,907,625,190,976/780,984
  6. Step 6: Final answer
    x = 3,723,027.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.