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Finding the Third Proportional to 524,109.52 and 1,122,964.31

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Solution

The third proportional to 524,109.52 and 1,122,964.31 is: 2,406,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,109.52 : 1,122,964.31 = 1,122,964.31 : x
  2. Step 2: Convert to fraction form
    524,109.52/1,122,964.31 = 1,122,964.31/x
  3. Step 3: Cross multiply
    524,109.52x = 1,122,964.31 × 1,122,964.31
  4. Step 4: Simplify right side
    524,109.52x = 1,261,048,847,148.60
  5. Step 5: Solve for x
    x = 1,261,048,847,148.60/524,109.52
  6. Step 6: Final answer
    x = 2,406,078.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.