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Finding the Third Proportional to 1,000,096 and 2,156,564

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Solution

The third proportional to 1,000,096 and 2,156,564 is: 4,650,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,096 : 2,156,564 = 2,156,564 : x
  2. Step 2: Convert to fraction form
    1,000,096/2,156,564 = 2,156,564/x
  3. Step 3: Cross multiply
    1,000,096x = 2,156,564 × 2,156,564
  4. Step 4: Simplify right side
    1,000,096x = 4,650,768,286,096
  5. Step 5: Solve for x
    x = 4,650,768,286,096/1,000,096
  6. Step 6: Final answer
    x = 4,650,321.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.