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Finding the Third Proportional to 997,040 and 1,546,772

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Solution

The third proportional to 997,040 and 1,546,772 is: 2,399,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,040 : 1,546,772 = 1,546,772 : x
  2. Step 2: Convert to fraction form
    997,040/1,546,772 = 1,546,772/x
  3. Step 3: Cross multiply
    997,040x = 1,546,772 × 1,546,772
  4. Step 4: Simplify right side
    997,040x = 2,392,503,619,984
  5. Step 5: Solve for x
    x = 2,392,503,619,984/997,040
  6. Step 6: Final answer
    x = 2,399,606.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.