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Finding the Third Proportional to 530,590.26 and 1,145,207.03

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Solution

The third proportional to 530,590.26 and 1,145,207.03 is: 2,471,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,590.26 : 1,145,207.03 = 1,145,207.03 : x
  2. Step 2: Convert to fraction form
    530,590.26/1,145,207.03 = 1,145,207.03/x
  3. Step 3: Cross multiply
    530,590.26x = 1,145,207.03 × 1,145,207.03
  4. Step 4: Simplify right side
    530,590.26x = 1,311,499,142,187.62
  5. Step 5: Solve for x
    x = 1,311,499,142,187.62/530,590.26
  6. Step 6: Final answer
    x = 2,471,773.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.