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Finding the Third Proportional to 482,905.13 and 1,048,845.38

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Solution

The third proportional to 482,905.13 and 1,048,845.38 is: 2,278,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,905.13 : 1,048,845.38 = 1,048,845.38 : x
  2. Step 2: Convert to fraction form
    482,905.13/1,048,845.38 = 1,048,845.38/x
  3. Step 3: Cross multiply
    482,905.13x = 1,048,845.38 × 1,048,845.38
  4. Step 4: Simplify right side
    482,905.13x = 1,100,076,620,658.89
  5. Step 5: Solve for x
    x = 1,100,076,620,658.89/482,905.13
  6. Step 6: Final answer
    x = 2,278,038.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.