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Finding the Third Proportional to 869,043.94 and 1,329,415.03

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Solution

The third proportional to 869,043.94 and 1,329,415.03 is: 2,033,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,043.94 : 1,329,415.03 = 1,329,415.03 : x
  2. Step 2: Convert to fraction form
    869,043.94/1,329,415.03 = 1,329,415.03/x
  3. Step 3: Cross multiply
    869,043.94x = 1,329,415.03 × 1,329,415.03
  4. Step 4: Simplify right side
    869,043.94x = 1,767,344,325,313.44
  5. Step 5: Solve for x
    x = 1,767,344,325,313.44/869,043.94
  6. Step 6: Final answer
    x = 2,033,665.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.