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Finding the Third Proportional to 675,145.13 and 1,464,699.38

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Solution

The third proportional to 675,145.13 and 1,464,699.38 is: 3,177,604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,145.13 : 1,464,699.38 = 1,464,699.38 : x
  2. Step 2: Convert to fraction form
    675,145.13/1,464,699.38 = 1,464,699.38/x
  3. Step 3: Cross multiply
    675,145.13x = 1,464,699.38 × 1,464,699.38
  4. Step 4: Simplify right side
    675,145.13x = 2,145,344,259,125.39
  5. Step 5: Solve for x
    x = 2,145,344,259,125.39/675,145.13
  6. Step 6: Final answer
    x = 3,177,604.61

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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.