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Finding the Third Proportional to 997,096 and 2,162,432

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Solution

The third proportional to 997,096 and 2,162,432 is: 4,689,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,096 : 2,162,432 = 2,162,432 : x
  2. Step 2: Convert to fraction form
    997,096/2,162,432 = 2,162,432/x
  3. Step 3: Cross multiply
    997,096x = 2,162,432 × 2,162,432
  4. Step 4: Simplify right side
    997,096x = 4,676,112,154,624
  5. Step 5: Solve for x
    x = 4,676,112,154,624/997,096
  6. Step 6: Final answer
    x = 4,689,731.13

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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.