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Finding the Third Proportional to 860,874 and 1,885,416

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Solution

The third proportional to 860,874 and 1,885,416 is: 4,129,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,874 : 1,885,416 = 1,885,416 : x
  2. Step 2: Convert to fraction form
    860,874/1,885,416 = 1,885,416/x
  3. Step 3: Cross multiply
    860,874x = 1,885,416 × 1,885,416
  4. Step 4: Simplify right side
    860,874x = 3,554,793,493,056
  5. Step 5: Solve for x
    x = 3,554,793,493,056/860,874
  6. Step 6: Final answer
    x = 4,129,284.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.