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Finding the Third Proportional to 860,156 and 1,203,048

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Solution

The third proportional to 860,156 and 1,203,048 is: 1,682,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,156 : 1,203,048 = 1,203,048 : x
  2. Step 2: Convert to fraction form
    860,156/1,203,048 = 1,203,048/x
  3. Step 3: Cross multiply
    860,156x = 1,203,048 × 1,203,048
  4. Step 4: Simplify right side
    860,156x = 1,447,324,490,304
  5. Step 5: Solve for x
    x = 1,447,324,490,304/860,156
  6. Step 6: Final answer
    x = 1,682,630.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.