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Finding the Third Proportional to 712,994 and 1,548,944

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Solution

The third proportional to 712,994 and 1,548,944 is: 3,365,003.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,994 : 1,548,944 = 1,548,944 : x
  2. Step 2: Convert to fraction form
    712,994/1,548,944 = 1,548,944/x
  3. Step 3: Cross multiply
    712,994x = 1,548,944 × 1,548,944
  4. Step 4: Simplify right side
    712,994x = 2,399,227,515,136
  5. Step 5: Solve for x
    x = 2,399,227,515,136/712,994
  6. Step 6: Final answer
    x = 3,365,003.79

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