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Finding the Third Proportional to 764,165 and 1,590,352

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Solution

The third proportional to 764,165 and 1,590,352 is: 3,309,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,165 : 1,590,352 = 1,590,352 : x
  2. Step 2: Convert to fraction form
    764,165/1,590,352 = 1,590,352/x
  3. Step 3: Cross multiply
    764,165x = 1,590,352 × 1,590,352
  4. Step 4: Simplify right side
    764,165x = 2,529,219,483,904
  5. Step 5: Solve for x
    x = 2,529,219,483,904/764,165
  6. Step 6: Final answer
    x = 3,309,781.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.