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Finding the Third Proportional to 675,820 and 1,463,172

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Solution

The third proportional to 675,820 and 1,463,172 is: 3,167,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,820 : 1,463,172 = 1,463,172 : x
  2. Step 2: Convert to fraction form
    675,820/1,463,172 = 1,463,172/x
  3. Step 3: Cross multiply
    675,820x = 1,463,172 × 1,463,172
  4. Step 4: Simplify right side
    675,820x = 2,140,872,301,584
  5. Step 5: Solve for x
    x = 2,140,872,301,584/675,820
  6. Step 6: Final answer
    x = 3,167,814.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.