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Finding the Third Proportional to 527,276 and 1,244,183

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Solution

The third proportional to 527,276 and 1,244,183 is: 2,935,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,276 : 1,244,183 = 1,244,183 : x
  2. Step 2: Convert to fraction form
    527,276/1,244,183 = 1,244,183/x
  3. Step 3: Cross multiply
    527,276x = 1,244,183 × 1,244,183
  4. Step 4: Simplify right side
    527,276x = 1,547,991,337,489
  5. Step 5: Solve for x
    x = 1,547,991,337,489/527,276
  6. Step 6: Final answer
    x = 2,935,827.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.