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Finding the Third Proportional to 454,503 and 956,028

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Solution

The third proportional to 454,503 and 956,028 is: 2,010,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,503 : 956,028 = 956,028 : x
  2. Step 2: Convert to fraction form
    454,503/956,028 = 956,028/x
  3. Step 3: Cross multiply
    454,503x = 956,028 × 956,028
  4. Step 4: Simplify right side
    454,503x = 913,989,536,784
  5. Step 5: Solve for x
    x = 913,989,536,784/454,503
  6. Step 6: Final answer
    x = 2,010,964.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.