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Finding the Third Proportional to 828,104 and 1,174,335

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Solution

The third proportional to 828,104 and 1,174,335 is: 1,665,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,104 : 1,174,335 = 1,174,335 : x
  2. Step 2: Convert to fraction form
    828,104/1,174,335 = 1,174,335/x
  3. Step 3: Cross multiply
    828,104x = 1,174,335 × 1,174,335
  4. Step 4: Simplify right side
    828,104x = 1,379,062,692,225
  5. Step 5: Solve for x
    x = 1,379,062,692,225/828,104
  6. Step 6: Final answer
    x = 1,665,325.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.