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Finding the Third Proportional to 860,164 and 1,203,060

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Solution

The third proportional to 860,164 and 1,203,060 is: 1,682,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,164 : 1,203,060 = 1,203,060 : x
  2. Step 2: Convert to fraction form
    860,164/1,203,060 = 1,203,060/x
  3. Step 3: Cross multiply
    860,164x = 1,203,060 × 1,203,060
  4. Step 4: Simplify right side
    860,164x = 1,447,353,363,600
  5. Step 5: Solve for x
    x = 1,447,353,363,600/860,164
  6. Step 6: Final answer
    x = 1,682,648.15

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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.