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Finding the Third Proportional to 791,355 and 1,610,678

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Solution

The third proportional to 791,355 and 1,610,678 is: 3,278,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,355 : 1,610,678 = 1,610,678 : x
  2. Step 2: Convert to fraction form
    791,355/1,610,678 = 1,610,678/x
  3. Step 3: Cross multiply
    791,355x = 1,610,678 × 1,610,678
  4. Step 4: Simplify right side
    791,355x = 2,594,283,619,684
  5. Step 5: Solve for x
    x = 2,594,283,619,684/791,355
  6. Step 6: Final answer
    x = 3,278,280.44

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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.