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Finding the Third Proportional to 1,588,918.50 and 3,530,904.75

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Solution

The third proportional to 1,588,918.50 and 3,530,904.75 is: 7,846,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,918.50 : 3,530,904.75 = 3,530,904.75 : x
  2. Step 2: Convert to fraction form
    1,588,918.50/3,530,904.75 = 3,530,904.75/x
  3. Step 3: Cross multiply
    1,588,918.50x = 3,530,904.75 × 3,530,904.75
  4. Step 4: Simplify right side
    1,588,918.50x = 12,467,288,353,572.56
  5. Step 5: Solve for x
    x = 12,467,288,353,572.56/1,588,918.50
  6. Step 6: Final answer
    x = 7,846,398.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.