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Finding the Third Proportional to 612,640 and 941,440

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Solution

The third proportional to 612,640 and 941,440 is: 1,446,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,640 : 941,440 = 941,440 : x
  2. Step 2: Convert to fraction form
    612,640/941,440 = 941,440/x
  3. Step 3: Cross multiply
    612,640x = 941,440 × 941,440
  4. Step 4: Simplify right side
    612,640x = 886,309,273,600
  5. Step 5: Solve for x
    x = 886,309,273,600/612,640
  6. Step 6: Final answer
    x = 1,446,704.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.