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Finding the Third Proportional to 645,742 and 1,317,764

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Solution

The third proportional to 645,742 and 1,317,764 is: 2,689,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,742 : 1,317,764 = 1,317,764 : x
  2. Step 2: Convert to fraction form
    645,742/1,317,764 = 1,317,764/x
  3. Step 3: Cross multiply
    645,742x = 1,317,764 × 1,317,764
  4. Step 4: Simplify right side
    645,742x = 1,736,501,959,696
  5. Step 5: Solve for x
    x = 1,736,501,959,696/645,742
  6. Step 6: Final answer
    x = 2,689,157.53

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.