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Finding the Third Proportional to 1,740,973.50 and 3,835,026

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Solution

The third proportional to 1,740,973.50 and 3,835,026 is: 8,447,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740,973.50 : 3,835,026 = 3,835,026 : x
  2. Step 2: Convert to fraction form
    1,740,973.50/3,835,026 = 3,835,026/x
  3. Step 3: Cross multiply
    1,740,973.50x = 3,835,026 × 3,835,026
  4. Step 4: Simplify right side
    1,740,973.50x = 14,707,424,420,676
  5. Step 5: Solve for x
    x = 14,707,424,420,676/1,740,973.50
  6. Step 6: Final answer
    x = 8,447,816.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.