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Finding the Third Proportional to 824,836 and 1,229,478

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Solution

The third proportional to 824,836 and 1,229,478 is: 1,832,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,836 : 1,229,478 = 1,229,478 : x
  2. Step 2: Convert to fraction form
    824,836/1,229,478 = 1,229,478/x
  3. Step 3: Cross multiply
    824,836x = 1,229,478 × 1,229,478
  4. Step 4: Simplify right side
    824,836x = 1,511,616,152,484
  5. Step 5: Solve for x
    x = 1,511,616,152,484/824,836
  6. Step 6: Final answer
    x = 1,832,626.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.