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Finding the Third Proportional to 675,802 and 1,463,138

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Solution

The third proportional to 675,802 and 1,463,138 is: 3,167,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,802 : 1,463,138 = 1,463,138 : x
  2. Step 2: Convert to fraction form
    675,802/1,463,138 = 1,463,138/x
  3. Step 3: Cross multiply
    675,802x = 1,463,138 × 1,463,138
  4. Step 4: Simplify right side
    675,802x = 2,140,772,807,044
  5. Step 5: Solve for x
    x = 2,140,772,807,044/675,802
  6. Step 6: Final answer
    x = 3,167,751.51

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Why These Related Problems?

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