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Finding the Third Proportional to 862,976 and 1,891,840

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Solution

The third proportional to 862,976 and 1,891,840 is: 4,147,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,976 : 1,891,840 = 1,891,840 : x
  2. Step 2: Convert to fraction form
    862,976/1,891,840 = 1,891,840/x
  3. Step 3: Cross multiply
    862,976x = 1,891,840 × 1,891,840
  4. Step 4: Simplify right side
    862,976x = 3,579,058,585,600
  5. Step 5: Solve for x
    x = 3,579,058,585,600/862,976
  6. Step 6: Final answer
    x = 4,147,344.29

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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.