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Finding the Third Proportional to 862,898 and 1,350,682

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Solution

The third proportional to 862,898 and 1,350,682 is: 2,114,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,898 : 1,350,682 = 1,350,682 : x
  2. Step 2: Convert to fraction form
    862,898/1,350,682 = 1,350,682/x
  3. Step 3: Cross multiply
    862,898x = 1,350,682 × 1,350,682
  4. Step 4: Simplify right side
    862,898x = 1,824,341,865,124
  5. Step 5: Solve for x
    x = 1,824,341,865,124/862,898
  6. Step 6: Final answer
    x = 2,114,203.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.