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Finding the Third Proportional to 446,984 and 951,582

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Solution

The third proportional to 446,984 and 951,582 is: 2,025,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,984 : 951,582 = 951,582 : x
  2. Step 2: Convert to fraction form
    446,984/951,582 = 951,582/x
  3. Step 3: Cross multiply
    446,984x = 951,582 × 951,582
  4. Step 4: Simplify right side
    446,984x = 905,508,302,724
  5. Step 5: Solve for x
    x = 905,508,302,724/446,984
  6. Step 6: Final answer
    x = 2,025,818.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.