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Finding the Third Proportional to 673,928 and 1,465,946

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Solution

The third proportional to 673,928 and 1,465,946 is: 3,188,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,928 : 1,465,946 = 1,465,946 : x
  2. Step 2: Convert to fraction form
    673,928/1,465,946 = 1,465,946/x
  3. Step 3: Cross multiply
    673,928x = 1,465,946 × 1,465,946
  4. Step 4: Simplify right side
    673,928x = 2,148,997,674,916
  5. Step 5: Solve for x
    x = 2,148,997,674,916/673,928
  6. Step 6: Final answer
    x = 3,188,764.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.