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Finding the Third Proportional to 862,566 and 1,871,742

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Solution

The third proportional to 862,566 and 1,871,742 is: 4,061,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,566 : 1,871,742 = 1,871,742 : x
  2. Step 2: Convert to fraction form
    862,566/1,871,742 = 1,871,742/x
  3. Step 3: Cross multiply
    862,566x = 1,871,742 × 1,871,742
  4. Step 4: Simplify right side
    862,566x = 3,503,418,114,564
  5. Step 5: Solve for x
    x = 3,503,418,114,564/862,566
  6. Step 6: Final answer
    x = 4,061,623.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.