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Finding the Third Proportional to 629,862 and 956,457

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Solution

The third proportional to 629,862 and 956,457 is: 1,452,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,862 : 956,457 = 956,457 : x
  2. Step 2: Convert to fraction form
    629,862/956,457 = 956,457/x
  3. Step 3: Cross multiply
    629,862x = 956,457 × 956,457
  4. Step 4: Simplify right side
    629,862x = 914,809,992,849
  5. Step 5: Solve for x
    x = 914,809,992,849/629,862
  6. Step 6: Final answer
    x = 1,452,397.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.