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Finding the Third Proportional to 764,556 and 1,214,418

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Solution

The third proportional to 764,556 and 1,214,418 is: 1,928,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,556 : 1,214,418 = 1,214,418 : x
  2. Step 2: Convert to fraction form
    764,556/1,214,418 = 1,214,418/x
  3. Step 3: Cross multiply
    764,556x = 1,214,418 × 1,214,418
  4. Step 4: Simplify right side
    764,556x = 1,474,811,078,724
  5. Step 5: Solve for x
    x = 1,474,811,078,724/764,556
  6. Step 6: Final answer
    x = 1,928,977.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.