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Finding the Third Proportional to 997,031 and 2,193,430

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Solution

The third proportional to 997,031 and 2,193,430 is: 4,825,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,031 : 2,193,430 = 2,193,430 : x
  2. Step 2: Convert to fraction form
    997,031/2,193,430 = 2,193,430/x
  3. Step 3: Cross multiply
    997,031x = 2,193,430 × 2,193,430
  4. Step 4: Simplify right side
    997,031x = 4,811,135,164,900
  5. Step 5: Solve for x
    x = 4,811,135,164,900/997,031
  6. Step 6: Final answer
    x = 4,825,461.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.