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Finding the Third Proportional to 481,488.05 and 1,138,666.36

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Solution

The third proportional to 481,488.05 and 1,138,666.36 is: 2,692,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,488.05 : 1,138,666.36 = 1,138,666.36 : x
  2. Step 2: Convert to fraction form
    481,488.05/1,138,666.36 = 1,138,666.36/x
  3. Step 3: Cross multiply
    481,488.05x = 1,138,666.36 × 1,138,666.36
  4. Step 4: Simplify right side
    481,488.05x = 1,296,561,077,972.32
  5. Step 5: Solve for x
    x = 1,296,561,077,972.32/481,488.05
  6. Step 6: Final answer
    x = 2,692,820.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.