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Finding the Third Proportional to 415,971 and 851,654

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Solution

The third proportional to 415,971 and 851,654 is: 1,743,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,971 : 851,654 = 851,654 : x
  2. Step 2: Convert to fraction form
    415,971/851,654 = 851,654/x
  3. Step 3: Cross multiply
    415,971x = 851,654 × 851,654
  4. Step 4: Simplify right side
    415,971x = 725,314,535,716
  5. Step 5: Solve for x
    x = 725,314,535,716/415,971
  6. Step 6: Final answer
    x = 1,743,666.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.