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Finding the Third Proportional to 813,648 and 1,701,654

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Solution

The third proportional to 813,648 and 1,701,654 is: 3,558,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,648 : 1,701,654 = 1,701,654 : x
  2. Step 2: Convert to fraction form
    813,648/1,701,654 = 1,701,654/x
  3. Step 3: Cross multiply
    813,648x = 1,701,654 × 1,701,654
  4. Step 4: Simplify right side
    813,648x = 2,895,626,335,716
  5. Step 5: Solve for x
    x = 2,895,626,335,716/813,648
  6. Step 6: Final answer
    x = 3,558,819.46

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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.