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Finding the Third Proportional to 813,654 and 1,701,666

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Solution

The third proportional to 813,654 and 1,701,666 is: 3,558,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,654 : 1,701,666 = 1,701,666 : x
  2. Step 2: Convert to fraction form
    813,654/1,701,666 = 1,701,666/x
  3. Step 3: Cross multiply
    813,654x = 1,701,666 × 1,701,666
  4. Step 4: Simplify right side
    813,654x = 2,895,667,175,556
  5. Step 5: Solve for x
    x = 2,895,667,175,556/813,654
  6. Step 6: Final answer
    x = 3,558,843.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.