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Finding the Third Proportional to 742,443 and 1,330,495

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Solution

The third proportional to 742,443 and 1,330,495 is: 2,384,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,443 : 1,330,495 = 1,330,495 : x
  2. Step 2: Convert to fraction form
    742,443/1,330,495 = 1,330,495/x
  3. Step 3: Cross multiply
    742,443x = 1,330,495 × 1,330,495
  4. Step 4: Simplify right side
    742,443x = 1,770,216,945,025
  5. Step 5: Solve for x
    x = 1,770,216,945,025/742,443
  6. Step 6: Final answer
    x = 2,384,313.60

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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.