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Finding the Third Proportional to 791,358 and 1,610,682

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Solution

The third proportional to 791,358 and 1,610,682 is: 3,278,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,358 : 1,610,682 = 1,610,682 : x
  2. Step 2: Convert to fraction form
    791,358/1,610,682 = 1,610,682/x
  3. Step 3: Cross multiply
    791,358x = 1,610,682 × 1,610,682
  4. Step 4: Simplify right side
    791,358x = 2,594,296,505,124
  5. Step 5: Solve for x
    x = 2,594,296,505,124/791,358
  6. Step 6: Final answer
    x = 3,278,284.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.