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Finding the Third Proportional to 438,636 and 956,598

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Solution

The third proportional to 438,636 and 956,598 is: 2,086,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,636 : 956,598 = 956,598 : x
  2. Step 2: Convert to fraction form
    438,636/956,598 = 956,598/x
  3. Step 3: Cross multiply
    438,636x = 956,598 × 956,598
  4. Step 4: Simplify right side
    438,636x = 915,079,733,604
  5. Step 5: Solve for x
    x = 915,079,733,604/438,636
  6. Step 6: Final answer
    x = 2,086,193.87

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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.