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Finding the Third Proportional to 467,640 and 1,130,706

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Solution

The third proportional to 467,640 and 1,130,706 is: 2,733,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,640 : 1,130,706 = 1,130,706 : x
  2. Step 2: Convert to fraction form
    467,640/1,130,706 = 1,130,706/x
  3. Step 3: Cross multiply
    467,640x = 1,130,706 × 1,130,706
  4. Step 4: Simplify right side
    467,640x = 1,278,496,058,436
  5. Step 5: Solve for x
    x = 1,278,496,058,436/467,640
  6. Step 6: Final answer
    x = 2,733,932.21

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.