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Finding the Third Proportional to 643,455 and 1,372,407.75

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Solution

The third proportional to 643,455 and 1,372,407.75 is: 2,927,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,455 : 1,372,407.75 = 1,372,407.75 : x
  2. Step 2: Convert to fraction form
    643,455/1,372,407.75 = 1,372,407.75/x
  3. Step 3: Cross multiply
    643,455x = 1,372,407.75 × 1,372,407.75
  4. Step 4: Simplify right side
    643,455x = 1,883,503,032,260.06
  5. Step 5: Solve for x
    x = 1,883,503,032,260.06/643,455
  6. Step 6: Final answer
    x = 2,927,171.34

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.