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Finding the Third Proportional to 447,984 and 967,229

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Solution

The third proportional to 447,984 and 967,229 is: 2,088,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,984 : 967,229 = 967,229 : x
  2. Step 2: Convert to fraction form
    447,984/967,229 = 967,229/x
  3. Step 3: Cross multiply
    447,984x = 967,229 × 967,229
  4. Step 4: Simplify right side
    447,984x = 935,531,938,441
  5. Step 5: Solve for x
    x = 935,531,938,441/447,984
  6. Step 6: Final answer
    x = 2,088,315.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.