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Finding the Third Proportional to 1,524,414.94 and 3,385,126.69

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Solution

The third proportional to 1,524,414.94 and 3,385,126.69 is: 7,517,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,414.94 : 3,385,126.69 = 3,385,126.69 : x
  2. Step 2: Convert to fraction form
    1,524,414.94/3,385,126.69 = 3,385,126.69/x
  3. Step 3: Cross multiply
    1,524,414.94x = 3,385,126.69 × 3,385,126.69
  4. Step 4: Simplify right side
    1,524,414.94x = 11,459,082,690,424.72
  5. Step 5: Solve for x
    x = 11,459,082,690,424.72/1,524,414.94
  6. Step 6: Final answer
    x = 7,517,036.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.