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Finding the Third Proportional to 860,126 and 1,822,796

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Solution

The third proportional to 860,126 and 1,822,796 is: 3,862,905.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,126 : 1,822,796 = 1,822,796 : x
  2. Step 2: Convert to fraction form
    860,126/1,822,796 = 1,822,796/x
  3. Step 3: Cross multiply
    860,126x = 1,822,796 × 1,822,796
  4. Step 4: Simplify right side
    860,126x = 3,322,585,257,616
  5. Step 5: Solve for x
    x = 3,322,585,257,616/860,126
  6. Step 6: Final answer
    x = 3,862,905.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.