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Finding the Third Proportional to 1,584,856 and 3,428,020

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Solution

The third proportional to 1,584,856 and 3,428,020 is: 7,414,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,856 : 3,428,020 = 3,428,020 : x
  2. Step 2: Convert to fraction form
    1,584,856/3,428,020 = 3,428,020/x
  3. Step 3: Cross multiply
    1,584,856x = 3,428,020 × 3,428,020
  4. Step 4: Simplify right side
    1,584,856x = 11,751,321,120,400
  5. Step 5: Solve for x
    x = 11,751,321,120,400/1,584,856
  6. Step 6: Final answer
    x = 7,414,756.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.