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Finding the Third Proportional to 828,876 and 1,238,190

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Solution

The third proportional to 828,876 and 1,238,190 is: 1,849,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,876 : 1,238,190 = 1,238,190 : x
  2. Step 2: Convert to fraction form
    828,876/1,238,190 = 1,238,190/x
  3. Step 3: Cross multiply
    828,876x = 1,238,190 × 1,238,190
  4. Step 4: Simplify right side
    828,876x = 1,533,114,476,100
  5. Step 5: Solve for x
    x = 1,533,114,476,100/828,876
  6. Step 6: Final answer
    x = 1,849,630.68

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Why These Related Problems?

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