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Finding the Third Proportional to 824,856 and 1,236,900

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Solution

The third proportional to 824,856 and 1,236,900 is: 1,854,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,856 : 1,236,900 = 1,236,900 : x
  2. Step 2: Convert to fraction form
    824,856/1,236,900 = 1,236,900/x
  3. Step 3: Cross multiply
    824,856x = 1,236,900 × 1,236,900
  4. Step 4: Simplify right side
    824,856x = 1,529,921,610,000
  5. Step 5: Solve for x
    x = 1,529,921,610,000/824,856
  6. Step 6: Final answer
    x = 1,854,774.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.