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Finding the Third Proportional to 467,944 and 1,006,817

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Solution

The third proportional to 467,944 and 1,006,817 is: 2,166,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,944 : 1,006,817 = 1,006,817 : x
  2. Step 2: Convert to fraction form
    467,944/1,006,817 = 1,006,817/x
  3. Step 3: Cross multiply
    467,944x = 1,006,817 × 1,006,817
  4. Step 4: Simplify right side
    467,944x = 1,013,680,471,489
  5. Step 5: Solve for x
    x = 1,013,680,471,489/467,944
  6. Step 6: Final answer
    x = 2,166,243.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.