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Finding the Third Proportional to 382,964 and 818,056

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Solution

The third proportional to 382,964 and 818,056 is: 1,747,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,964 : 818,056 = 818,056 : x
  2. Step 2: Convert to fraction form
    382,964/818,056 = 818,056/x
  3. Step 3: Cross multiply
    382,964x = 818,056 × 818,056
  4. Step 4: Simplify right side
    382,964x = 669,215,619,136
  5. Step 5: Solve for x
    x = 669,215,619,136/382,964
  6. Step 6: Final answer
    x = 1,747,463.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.