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Finding the Third Proportional to 997,038 and 1,546,769

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Solution

The third proportional to 997,038 and 1,546,769 is: 2,399,601.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,038 : 1,546,769 = 1,546,769 : x
  2. Step 2: Convert to fraction form
    997,038/1,546,769 = 1,546,769/x
  3. Step 3: Cross multiply
    997,038x = 1,546,769 × 1,546,769
  4. Step 4: Simplify right side
    997,038x = 2,392,494,339,361
  5. Step 5: Solve for x
    x = 2,392,494,339,361/997,038
  6. Step 6: Final answer
    x = 2,399,601.96

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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.