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Finding the Third Proportional to 609,193.50 and 1,320,082.50

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Solution

The third proportional to 609,193.50 and 1,320,082.50 is: 2,860,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,193.50 : 1,320,082.50 = 1,320,082.50 : x
  2. Step 2: Convert to fraction form
    609,193.50/1,320,082.50 = 1,320,082.50/x
  3. Step 3: Cross multiply
    609,193.50x = 1,320,082.50 × 1,320,082.50
  4. Step 4: Simplify right side
    609,193.50x = 1,742,617,806,806.25
  5. Step 5: Solve for x
    x = 1,742,617,806,806.25/609,193.50
  6. Step 6: Final answer
    x = 2,860,532.50

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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.