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Finding the Third Proportional to 1,596,396 and 3,414,168

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Solution

The third proportional to 1,596,396 and 3,414,168 is: 7,301,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,396 : 3,414,168 = 3,414,168 : x
  2. Step 2: Convert to fraction form
    1,596,396/3,414,168 = 3,414,168/x
  3. Step 3: Cross multiply
    1,596,396x = 3,414,168 × 3,414,168
  4. Step 4: Simplify right side
    1,596,396x = 11,656,543,132,224
  5. Step 5: Solve for x
    x = 11,656,543,132,224/1,596,396
  6. Step 6: Final answer
    x = 7,301,786.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.