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Finding the Third Proportional to 2,384,652 and 3,500,946

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Solution

The third proportional to 2,384,652 and 3,500,946 is: 5,139,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384,652 : 3,500,946 = 3,500,946 : x
  2. Step 2: Convert to fraction form
    2,384,652/3,500,946 = 3,500,946/x
  3. Step 3: Cross multiply
    2,384,652x = 3,500,946 × 3,500,946
  4. Step 4: Simplify right side
    2,384,652x = 12,256,622,894,916
  5. Step 5: Solve for x
    x = 12,256,622,894,916/2,384,652
  6. Step 6: Final answer
    x = 5,139,795.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.