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Finding the Third Proportional to 645,744 and 1,317,768

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Solution

The third proportional to 645,744 and 1,317,768 is: 2,689,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,744 : 1,317,768 = 1,317,768 : x
  2. Step 2: Convert to fraction form
    645,744/1,317,768 = 1,317,768/x
  3. Step 3: Cross multiply
    645,744x = 1,317,768 × 1,317,768
  4. Step 4: Simplify right side
    645,744x = 1,736,512,501,824
  5. Step 5: Solve for x
    x = 1,736,512,501,824/645,744
  6. Step 6: Final answer
    x = 2,689,165.52

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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.