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Finding the Third Proportional to 438,633 and 956,592

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Solution

The third proportional to 438,633 and 956,592 is: 2,086,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,633 : 956,592 = 956,592 : x
  2. Step 2: Convert to fraction form
    438,633/956,592 = 956,592/x
  3. Step 3: Cross multiply
    438,633x = 956,592 × 956,592
  4. Step 4: Simplify right side
    438,633x = 915,068,254,464
  5. Step 5: Solve for x
    x = 915,068,254,464/438,633
  6. Step 6: Final answer
    x = 2,086,181.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.