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Finding the Third Proportional to 438,010 and 942,449

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Solution

The third proportional to 438,010 and 942,449 is: 2,027,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,010 : 942,449 = 942,449 : x
  2. Step 2: Convert to fraction form
    438,010/942,449 = 942,449/x
  3. Step 3: Cross multiply
    438,010x = 942,449 × 942,449
  4. Step 4: Simplify right side
    438,010x = 888,210,117,601
  5. Step 5: Solve for x
    x = 888,210,117,601/438,010
  6. Step 6: Final answer
    x = 2,027,830.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.