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Finding the Third Proportional to 2,139,680 and 4,699,200

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Solution

The third proportional to 2,139,680 and 4,699,200 is: 10,320,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139,680 : 4,699,200 = 4,699,200 : x
  2. Step 2: Convert to fraction form
    2,139,680/4,699,200 = 4,699,200/x
  3. Step 3: Cross multiply
    2,139,680x = 4,699,200 × 4,699,200
  4. Step 4: Simplify right side
    2,139,680x = 22,082,480,640,000
  5. Step 5: Solve for x
    x = 22,082,480,640,000/2,139,680
  6. Step 6: Final answer
    x = 10,320,459.43

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