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Finding the Third Proportional to 1,740,343.50 and 3,853,935

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Solution

The third proportional to 1,740,343.50 and 3,853,935 is: 8,534,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740,343.50 : 3,853,935 = 3,853,935 : x
  2. Step 2: Convert to fraction form
    1,740,343.50/3,853,935 = 3,853,935/x
  3. Step 3: Cross multiply
    1,740,343.50x = 3,853,935 × 3,853,935
  4. Step 4: Simplify right side
    1,740,343.50x = 14,852,814,984,225
  5. Step 5: Solve for x
    x = 14,852,814,984,225/1,740,343.50
  6. Step 6: Final answer
    x = 8,534,415.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.