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Finding the Third Proportional to 421,654 and 926,252

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Solution

The third proportional to 421,654 and 926,252 is: 2,034,708.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,654 : 926,252 = 926,252 : x
  2. Step 2: Convert to fraction form
    421,654/926,252 = 926,252/x
  3. Step 3: Cross multiply
    421,654x = 926,252 × 926,252
  4. Step 4: Simplify right side
    421,654x = 857,942,767,504
  5. Step 5: Solve for x
    x = 857,942,767,504/421,654
  6. Step 6: Final answer
    x = 2,034,708.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.