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Finding the Third Proportional to 522,437.34 and 1,067,013

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Solution

The third proportional to 522,437.34 and 1,067,013 is: 2,179,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,437.34 : 1,067,013 = 1,067,013 : x
  2. Step 2: Convert to fraction form
    522,437.34/1,067,013 = 1,067,013/x
  3. Step 3: Cross multiply
    522,437.34x = 1,067,013 × 1,067,013
  4. Step 4: Simplify right side
    522,437.34x = 1,138,516,742,169
  5. Step 5: Solve for x
    x = 1,138,516,742,169/522,437.34
  6. Step 6: Final answer
    x = 2,179,240.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.