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Finding the Third Proportional to 862,402 and 1,814,171

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Solution

The third proportional to 862,402 and 1,814,171 is: 3,816,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,402 : 1,814,171 = 1,814,171 : x
  2. Step 2: Convert to fraction form
    862,402/1,814,171 = 1,814,171/x
  3. Step 3: Cross multiply
    862,402x = 1,814,171 × 1,814,171
  4. Step 4: Simplify right side
    862,402x = 3,291,216,417,241
  5. Step 5: Solve for x
    x = 3,291,216,417,241/862,402
  6. Step 6: Final answer
    x = 3,816,336.72

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