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Finding the Third Proportional to 452,745 and 956,898

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Solution

The third proportional to 452,745 and 956,898 is: 2,022,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,745 : 956,898 = 956,898 : x
  2. Step 2: Convert to fraction form
    452,745/956,898 = 956,898/x
  3. Step 3: Cross multiply
    452,745x = 956,898 × 956,898
  4. Step 4: Simplify right side
    452,745x = 915,653,782,404
  5. Step 5: Solve for x
    x = 915,653,782,404/452,745
  6. Step 6: Final answer
    x = 2,022,449.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.