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Finding the Third Proportional to 1,896,624 and 4,134,096

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Solution

The third proportional to 1,896,624 and 4,134,096 is: 9,011,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896,624 : 4,134,096 = 4,134,096 : x
  2. Step 2: Convert to fraction form
    1,896,624/4,134,096 = 4,134,096/x
  3. Step 3: Cross multiply
    1,896,624x = 4,134,096 × 4,134,096
  4. Step 4: Simplify right side
    1,896,624x = 17,090,749,737,216
  5. Step 5: Solve for x
    x = 17,090,749,737,216/1,896,624
  6. Step 6: Final answer
    x = 9,011,142.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.