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Finding the Third Proportional to 1,524,527 and 3,314,764

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Solution

The third proportional to 1,524,527 and 3,314,764 is: 7,207,258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,527 : 3,314,764 = 3,314,764 : x
  2. Step 2: Convert to fraction form
    1,524,527/3,314,764 = 3,314,764/x
  3. Step 3: Cross multiply
    1,524,527x = 3,314,764 × 3,314,764
  4. Step 4: Simplify right side
    1,524,527x = 10,987,660,375,696
  5. Step 5: Solve for x
    x = 10,987,660,375,696/1,524,527
  6. Step 6: Final answer
    x = 7,207,258.63

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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.