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Finding the Third Proportional to 742,441 and 1,330,491

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Solution

The third proportional to 742,441 and 1,330,491 is: 2,384,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,441 : 1,330,491 = 1,330,491 : x
  2. Step 2: Convert to fraction form
    742,441/1,330,491 = 1,330,491/x
  3. Step 3: Cross multiply
    742,441x = 1,330,491 × 1,330,491
  4. Step 4: Simplify right side
    742,441x = 1,770,206,301,081
  5. Step 5: Solve for x
    x = 1,770,206,301,081/742,441
  6. Step 6: Final answer
    x = 2,384,305.69

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.