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Finding the Third Proportional to 421,056 and 925,056

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Solution

The third proportional to 421,056 and 925,056 is: 2,032,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,056 : 925,056 = 925,056 : x
  2. Step 2: Convert to fraction form
    421,056/925,056 = 925,056/x
  3. Step 3: Cross multiply
    421,056x = 925,056 × 925,056
  4. Step 4: Simplify right side
    421,056x = 855,728,603,136
  5. Step 5: Solve for x
    x = 855,728,603,136/421,056
  6. Step 6: Final answer
    x = 2,032,339.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.