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Finding the Third Proportional to 2,059,297.17 and 4,289,039.23

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Solution

The third proportional to 2,059,297.17 and 4,289,039.23 is: 8,933,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059,297.17 : 4,289,039.23 = 4,289,039.23 : x
  2. Step 2: Convert to fraction form
    2,059,297.17/4,289,039.23 = 4,289,039.23/x
  3. Step 3: Cross multiply
    2,059,297.17x = 4,289,039.23 × 4,289,039.23
  4. Step 4: Simplify right side
    2,059,297.17x = 18,395,857,486,990.99
  5. Step 5: Solve for x
    x = 18,395,857,486,990.99/2,059,297.17
  6. Step 6: Final answer
    x = 8,933,075.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.