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Finding the Third Proportional to 812,066 and 1,191,555

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Solution

The third proportional to 812,066 and 1,191,555 is: 1,748,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,066 : 1,191,555 = 1,191,555 : x
  2. Step 2: Convert to fraction form
    812,066/1,191,555 = 1,191,555/x
  3. Step 3: Cross multiply
    812,066x = 1,191,555 × 1,191,555
  4. Step 4: Simplify right side
    812,066x = 1,419,803,318,025
  5. Step 5: Solve for x
    x = 1,419,803,318,025/812,066
  6. Step 6: Final answer
    x = 1,748,384.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.