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Finding the Third Proportional to 1,016,115 and 1,496,100

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Solution

The third proportional to 1,016,115 and 1,496,100 is: 2,202,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,115 : 1,496,100 = 1,496,100 : x
  2. Step 2: Convert to fraction form
    1,016,115/1,496,100 = 1,496,100/x
  3. Step 3: Cross multiply
    1,016,115x = 1,496,100 × 1,496,100
  4. Step 4: Simplify right side
    1,016,115x = 2,238,315,210,000
  5. Step 5: Solve for x
    x = 2,238,315,210,000/1,016,115
  6. Step 6: Final answer
    x = 2,202,816.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.