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Finding the Third Proportional to 997,638 and 1,492,521

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Solution

The third proportional to 997,638 and 1,492,521 is: 2,232,893.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,638 : 1,492,521 = 1,492,521 : x
  2. Step 2: Convert to fraction form
    997,638/1,492,521 = 1,492,521/x
  3. Step 3: Cross multiply
    997,638x = 1,492,521 × 1,492,521
  4. Step 4: Simplify right side
    997,638x = 2,227,618,935,441
  5. Step 5: Solve for x
    x = 2,227,618,935,441/997,638
  6. Step 6: Final answer
    x = 2,232,893.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.