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Finding the Third Proportional to 692,640 and 1,483,830

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Solution

The third proportional to 692,640 and 1,483,830 is: 3,178,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,640 : 1,483,830 = 1,483,830 : x
  2. Step 2: Convert to fraction form
    692,640/1,483,830 = 1,483,830/x
  3. Step 3: Cross multiply
    692,640x = 1,483,830 × 1,483,830
  4. Step 4: Simplify right side
    692,640x = 2,201,751,468,900
  5. Step 5: Solve for x
    x = 2,201,751,468,900/692,640
  6. Step 6: Final answer
    x = 3,178,781.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.