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Finding the Third Proportional to 862,398 and 1,814,168

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Solution

The third proportional to 862,398 and 1,814,168 is: 3,816,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,398 : 1,814,168 = 1,814,168 : x
  2. Step 2: Convert to fraction form
    862,398/1,814,168 = 1,814,168/x
  3. Step 3: Cross multiply
    862,398x = 1,814,168 × 1,814,168
  4. Step 4: Simplify right side
    862,398x = 3,291,205,532,224
  5. Step 5: Solve for x
    x = 3,291,205,532,224/862,398
  6. Step 6: Final answer
    x = 3,816,341.80

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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.