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Finding the Third Proportional to 771,104.25 and 1,670,908.50

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Solution

The third proportional to 771,104.25 and 1,670,908.50 is: 3,620,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,104.25 : 1,670,908.50 = 1,670,908.50 : x
  2. Step 2: Convert to fraction form
    771,104.25/1,670,908.50 = 1,670,908.50/x
  3. Step 3: Cross multiply
    771,104.25x = 1,670,908.50 × 1,670,908.50
  4. Step 4: Simplify right side
    771,104.25x = 2,791,935,215,372.25
  5. Step 5: Solve for x
    x = 2,791,935,215,372.25/771,104.25
  6. Step 6: Final answer
    x = 3,620,697.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.