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Finding the Third Proportional to 506,339.13 and 1,099,609.44

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Solution

The third proportional to 506,339.13 and 1,099,609.44 is: 2,388,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,339.13 : 1,099,609.44 = 1,099,609.44 : x
  2. Step 2: Convert to fraction form
    506,339.13/1,099,609.44 = 1,099,609.44/x
  3. Step 3: Cross multiply
    506,339.13x = 1,099,609.44 × 1,099,609.44
  4. Step 4: Simplify right side
    506,339.13x = 1,209,140,915,039.07
  5. Step 5: Solve for x
    x = 1,209,140,915,039.07/506,339.13
  6. Step 6: Final answer
    x = 2,388,006.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.