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Finding the Third Proportional to 814,184 and 1,763,896

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Solution

The third proportional to 814,184 and 1,763,896 is: 3,821,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,184 : 1,763,896 = 1,763,896 : x
  2. Step 2: Convert to fraction form
    814,184/1,763,896 = 1,763,896/x
  3. Step 3: Cross multiply
    814,184x = 1,763,896 × 1,763,896
  4. Step 4: Simplify right side
    814,184x = 3,111,329,098,816
  5. Step 5: Solve for x
    x = 3,111,329,098,816/814,184
  6. Step 6: Final answer
    x = 3,821,407.81

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