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Finding the Third Proportional to 675,145.13 and 1,464,697.69

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Solution

The third proportional to 675,145.13 and 1,464,697.69 is: 3,177,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,145.13 : 1,464,697.69 = 1,464,697.69 : x
  2. Step 2: Convert to fraction form
    675,145.13/1,464,697.69 = 1,464,697.69/x
  3. Step 3: Cross multiply
    675,145.13x = 1,464,697.69 × 1,464,697.69
  4. Step 4: Simplify right side
    675,145.13x = 2,145,339,315,767.85
  5. Step 5: Solve for x
    x = 2,145,339,315,767.85/675,145.13
  6. Step 6: Final answer
    x = 3,177,597.28

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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.