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Finding the Third Proportional to 3,446,211.50 and 5,723,725

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Solution

The third proportional to 3,446,211.50 and 5,723,725 is: 9,506,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446,211.50 : 5,723,725 = 5,723,725 : x
  2. Step 2: Convert to fraction form
    3,446,211.50/5,723,725 = 5,723,725/x
  3. Step 3: Cross multiply
    3,446,211.50x = 5,723,725 × 5,723,725
  4. Step 4: Simplify right side
    3,446,211.50x = 32,761,027,875,625
  5. Step 5: Solve for x
    x = 32,761,027,875,625/3,446,211.50
  6. Step 6: Final answer
    x = 9,506,389.23

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.