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Finding the Third Proportional to 1,071,236 and 1,468,900

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Solution

The third proportional to 1,071,236 and 1,468,900 is: 2,014,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,236 : 1,468,900 = 1,468,900 : x
  2. Step 2: Convert to fraction form
    1,071,236/1,468,900 = 1,468,900/x
  3. Step 3: Cross multiply
    1,071,236x = 1,468,900 × 1,468,900
  4. Step 4: Simplify right side
    1,071,236x = 2,157,667,210,000
  5. Step 5: Solve for x
    x = 2,157,667,210,000/1,071,236
  6. Step 6: Final answer
    x = 2,014,184.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.