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Finding the Third Proportional to 709,896 and 1,540,200

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Solution

The third proportional to 709,896 and 1,540,200 is: 3,341,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,896 : 1,540,200 = 1,540,200 : x
  2. Step 2: Convert to fraction form
    709,896/1,540,200 = 1,540,200/x
  3. Step 3: Cross multiply
    709,896x = 1,540,200 × 1,540,200
  4. Step 4: Simplify right side
    709,896x = 2,372,216,040,000
  5. Step 5: Solve for x
    x = 2,372,216,040,000/709,896
  6. Step 6: Final answer
    x = 3,341,638.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.