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Finding the Third Proportional to 1,580,260 and 3,400,200

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Solution

The third proportional to 1,580,260 and 3,400,200 is: 7,316,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,260 : 3,400,200 = 3,400,200 : x
  2. Step 2: Convert to fraction form
    1,580,260/3,400,200 = 3,400,200/x
  3. Step 3: Cross multiply
    1,580,260x = 3,400,200 × 3,400,200
  4. Step 4: Simplify right side
    1,580,260x = 11,561,360,040,000
  5. Step 5: Solve for x
    x = 11,561,360,040,000/1,580,260
  6. Step 6: Final answer
    x = 7,316,112.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.