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Finding the Third Proportional to 438,654 and 956,634

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Solution

The third proportional to 438,654 and 956,634 is: 2,086,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,654 : 956,634 = 956,634 : x
  2. Step 2: Convert to fraction form
    438,654/956,634 = 956,634/x
  3. Step 3: Cross multiply
    438,654x = 956,634 × 956,634
  4. Step 4: Simplify right side
    438,654x = 915,148,609,956
  5. Step 5: Solve for x
    x = 915,148,609,956/438,654
  6. Step 6: Final answer
    x = 2,086,265.28

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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.