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Finding the Third Proportional to 602,890.49 and 1,327,223.50

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Solution

The third proportional to 602,890.49 and 1,327,223.50 is: 2,921,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,890.49 : 1,327,223.50 = 1,327,223.50 : x
  2. Step 2: Convert to fraction form
    602,890.49/1,327,223.50 = 1,327,223.50/x
  3. Step 3: Cross multiply
    602,890.49x = 1,327,223.50 × 1,327,223.50
  4. Step 4: Simplify right side
    602,890.49x = 1,761,522,208,583.45
  5. Step 5: Solve for x
    x = 1,761,522,208,583.45/602,890.49
  6. Step 6: Final answer
    x = 2,921,794.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.