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Finding the Third Proportional to 862,401 and 1,814,169

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Solution

The third proportional to 862,401 and 1,814,169 is: 3,816,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,401 : 1,814,169 = 1,814,169 : x
  2. Step 2: Convert to fraction form
    862,401/1,814,169 = 1,814,169/x
  3. Step 3: Cross multiply
    862,401x = 1,814,169 × 1,814,169
  4. Step 4: Simplify right side
    862,401x = 3,291,209,160,561
  5. Step 5: Solve for x
    x = 3,291,209,160,561/862,401
  6. Step 6: Final answer
    x = 3,816,332.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.