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Finding the Third Proportional to 719,568 and 1,584,018

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Solution

The third proportional to 719,568 and 1,584,018 is: 3,486,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,568 : 1,584,018 = 1,584,018 : x
  2. Step 2: Convert to fraction form
    719,568/1,584,018 = 1,584,018/x
  3. Step 3: Cross multiply
    719,568x = 1,584,018 × 1,584,018
  4. Step 4: Simplify right side
    719,568x = 2,509,113,024,324
  5. Step 5: Solve for x
    x = 2,509,113,024,324/719,568
  6. Step 6: Final answer
    x = 3,486,971.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.