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Finding the Third Proportional to 454,058 and 963,462

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Solution

The third proportional to 454,058 and 963,462 is: 2,044,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,058 : 963,462 = 963,462 : x
  2. Step 2: Convert to fraction form
    454,058/963,462 = 963,462/x
  3. Step 3: Cross multiply
    454,058x = 963,462 × 963,462
  4. Step 4: Simplify right side
    454,058x = 928,259,025,444
  5. Step 5: Solve for x
    x = 928,259,025,444/454,058
  6. Step 6: Final answer
    x = 2,044,362.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.