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Finding the Third Proportional to 643,318 and 1,374,984

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Solution

The third proportional to 643,318 and 1,374,984 is: 2,938,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,318 : 1,374,984 = 1,374,984 : x
  2. Step 2: Convert to fraction form
    643,318/1,374,984 = 1,374,984/x
  3. Step 3: Cross multiply
    643,318x = 1,374,984 × 1,374,984
  4. Step 4: Simplify right side
    643,318x = 1,890,581,000,256
  5. Step 5: Solve for x
    x = 1,890,581,000,256/643,318
  6. Step 6: Final answer
    x = 2,938,796.99

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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.