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Finding the Third Proportional to 1,568,232 and 2,306,414

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Solution

The third proportional to 1,568,232 and 2,306,414 is: 3,392,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568,232 : 2,306,414 = 2,306,414 : x
  2. Step 2: Convert to fraction form
    1,568,232/2,306,414 = 2,306,414/x
  3. Step 3: Cross multiply
    1,568,232x = 2,306,414 × 2,306,414
  4. Step 4: Simplify right side
    1,568,232x = 5,319,545,539,396
  5. Step 5: Solve for x
    x = 5,319,545,539,396/1,568,232
  6. Step 6: Final answer
    x = 3,392,065.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.