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Finding the Third Proportional to 954,576 and 2,058,519

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Solution

The third proportional to 954,576 and 2,058,519 is: 4,439,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,576 : 2,058,519 = 2,058,519 : x
  2. Step 2: Convert to fraction form
    954,576/2,058,519 = 2,058,519/x
  3. Step 3: Cross multiply
    954,576x = 2,058,519 × 2,058,519
  4. Step 4: Simplify right side
    954,576x = 4,237,500,473,361
  5. Step 5: Solve for x
    x = 4,237,500,473,361/954,576
  6. Step 6: Final answer
    x = 4,439,144.16

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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.